LCM Table & Chart (1 to 20)
Use this chart just like a multiplication table: pick your first number along the left column, your second number across the top row, and follow them to where they meet. Every cell shows the Least Common Multiple of that pair.
Interactive 1 to 20 LCM Matrix
Hover or tap any cell to highlight its row and column intersection.
LCM(12, 18) = 36 (GCF = 6)
| LCM | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| 2 | 2 | 2 | 6 | 4 | 10 | 6 | 14 | 8 | 18 | 10 | 22 | 12 | 26 | 14 | 30 | 16 | 34 | 18 | 38 | 20 |
| 3 | 3 | 6 | 3 | 12 | 15 | 6 | 21 | 24 | 9 | 30 | 33 | 12 | 39 | 42 | 15 | 48 | 51 | 18 | 57 | 60 |
| 4 | 4 | 4 | 12 | 4 | 20 | 12 | 28 | 8 | 36 | 20 | 44 | 12 | 52 | 28 | 60 | 16 | 68 | 36 | 76 | 20 |
| 5 | 5 | 10 | 15 | 20 | 5 | 30 | 35 | 40 | 45 | 10 | 55 | 60 | 65 | 70 | 15 | 80 | 85 | 90 | 95 | 20 |
| 6 | 6 | 6 | 6 | 12 | 30 | 6 | 42 | 24 | 18 | 30 | 66 | 12 | 78 | 42 | 30 | 48 | 102 | 18 | 114 | 60 |
| 7 | 7 | 14 | 21 | 28 | 35 | 42 | 7 | 56 | 63 | 70 | 77 | 84 | 91 | 14 | 105 | 112 | 119 | 126 | 133 | 140 |
| 8 | 8 | 8 | 24 | 8 | 40 | 24 | 56 | 8 | 72 | 40 | 88 | 24 | 104 | 56 | 120 | 16 | 136 | 72 | 152 | 40 |
| 9 | 9 | 18 | 9 | 36 | 45 | 18 | 63 | 72 | 9 | 90 | 99 | 36 | 117 | 126 | 45 | 144 | 153 | 18 | 171 | 180 |
| 10 | 10 | 10 | 30 | 20 | 10 | 30 | 70 | 40 | 90 | 10 | 110 | 60 | 130 | 70 | 30 | 80 | 170 | 90 | 190 | 20 |
| 11 | 11 | 22 | 33 | 44 | 55 | 66 | 77 | 88 | 99 | 110 | 11 | 132 | 143 | 154 | 165 | 176 | 187 | 198 | 209 | 220 |
| 12 | 12 | 12 | 12 | 12 | 60 | 12 | 84 | 24 | 36 | 60 | 132 | 12 | 156 | 84 | 60 | 48 | 204 | 36 | 228 | 60 |
| 13 | 13 | 26 | 39 | 52 | 65 | 78 | 91 | 104 | 117 | 130 | 143 | 156 | 13 | 182 | 195 | 208 | 221 | 234 | 247 | 260 |
| 14 | 14 | 14 | 42 | 28 | 70 | 42 | 14 | 56 | 126 | 70 | 154 | 84 | 182 | 14 | 210 | 112 | 238 | 126 | 266 | 140 |
| 15 | 15 | 30 | 15 | 60 | 15 | 30 | 105 | 120 | 45 | 30 | 165 | 60 | 195 | 210 | 15 | 240 | 255 | 90 | 285 | 60 |
| 16 | 16 | 16 | 48 | 16 | 80 | 48 | 112 | 16 | 144 | 80 | 176 | 48 | 208 | 112 | 240 | 16 | 272 | 144 | 304 | 80 |
| 17 | 17 | 34 | 51 | 68 | 85 | 102 | 119 | 136 | 153 | 170 | 187 | 204 | 221 | 238 | 255 | 272 | 17 | 306 | 323 | 340 |
| 18 | 18 | 18 | 18 | 36 | 90 | 18 | 126 | 72 | 18 | 90 | 198 | 36 | 234 | 126 | 90 | 144 | 306 | 18 | 342 | 180 |
| 19 | 19 | 38 | 57 | 76 | 95 | 114 | 133 | 152 | 171 | 190 | 209 | 228 | 247 | 266 | 285 | 304 | 323 | 342 | 19 | 380 |
| 20 | 20 | 20 | 60 | 20 | 20 | 60 | 140 | 40 | 180 | 20 | 220 | 60 | 260 | 140 | 60 | 80 | 340 | 180 | 380 | 20 |
Sortable Pair Inspector (LCM of 12 with 1–20)
Choose a base number and sort the table by partner number, smallest LCM, largest LCM, or shared GCF.
| Pair | LCM(12, b) | GCF(12, b) | Relationship Note |
|---|---|---|---|
| 12 and 1 | 12 | 1 | One number divides the other (LCM = 12) |
| 12 and 2 | 12 | 2 | One number divides the other (LCM = 12) |
| 12 and 3 | 12 | 3 | One number divides the other (LCM = 12) |
| 12 and 4 | 12 | 4 | One number divides the other (LCM = 12) |
| 12 and 5 | 60 | 1 | Coprime (GCF = 1), so LCM = 12 × 5 = 60 |
| 12 and 6 | 12 | 6 | One number divides the other (LCM = 12) |
| 12 and 7 | 84 | 1 | Coprime (GCF = 1), so LCM = 12 × 7 = 84 |
| 12 and 8 | 24 | 4 | Share factor 4: (12 × 8) ÷ 4 = 24 |
| 12 and 9 | 36 | 3 | Share factor 3: (12 × 9) ÷ 3 = 36 |
| 12 and 10 | 60 | 2 | Share factor 2: (12 × 10) ÷ 2 = 60 |
| 12 and 11 | 132 | 1 | Coprime (GCF = 1), so LCM = 12 × 11 = 132 |
| 12 and 12 | 12 | 12 | Identical numbers (LCM equals the number itself) |
| 12 and 13 | 156 | 1 | Coprime (GCF = 1), so LCM = 12 × 13 = 156 |
| 12 and 14 | 84 | 2 | Share factor 2: (12 × 14) ÷ 2 = 84 |
| 12 and 15 | 60 | 3 | Share factor 3: (12 × 15) ÷ 3 = 60 |
| 12 and 16 | 48 | 4 | Share factor 4: (12 × 16) ÷ 4 = 48 |
| 12 and 17 | 204 | 1 | Coprime (GCF = 1), so LCM = 12 × 17 = 204 |
| 12 and 18 | 36 | 6 | Share factor 6: (12 × 18) ÷ 6 = 36 |
| 12 and 19 | 228 | 1 | Coprime (GCF = 1), so LCM = 12 × 19 = 228 |
| 12 and 20 | 60 | 4 | Share factor 4: (12 × 20) ÷ 4 = 60 |
Step-by-Step Worksheets
30 Curated LCM Worked Examples
Each page below breaks down a frequently searched pair or triple with full working, prime tables, and teacher notes.
LCM of 2 and 3= 6 →LCM of 3 and 4= 12 →LCM of 3 and 5= 15 →LCM of 4 and 6= 12 →LCM of 4 and 8= 8 →LCM of 4 and 10= 20 →LCM of 5 and 6= 30 →LCM of 5 and 10= 10 →LCM of 6 and 8= 24 →LCM of 6 and 9= 18 →LCM of 6 and 10= 30 →LCM of 6 and 12= 12 →LCM of 7 and 8= 56 →LCM of 8 and 10= 40 →LCM of 8 and 12= 24 →LCM of 9 and 12= 36 →LCM of 9 and 15= 45 →LCM of 10 and 12= 60 →LCM of 10 and 15= 30 →LCM of 12 and 15= 60 →LCM of 12 and 16= 48 →LCM of 12 and 18= 36 →LCM of 14 and 21= 42 →LCM of 15 and 20= 60 →LCM of 16 and 24= 48 →LCM of 18 and 24= 72 →LCM of 20 and 25= 100 →LCM of 24 and 36= 72 →LCM of 2, 3, and 4= 12 →LCM of 3, 4, and 5= 60 →LCM of 4, 6, and 8= 24 →LCM of 6, 8, and 12= 24 →LCM of 12, 15, and 20= 60 →LCM of 12, 18, and 24= 72 →