LCM for 84 and 60
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What's the Least Common Multiple (LCM) of 84 and 60?
Answer
LCM of 84 and 60 is
420
First common multiples: 420; 840; 1,260; …
420 is divisible by both: 420 ÷ 84 = 5, 420 ÷ 60 = 7 — and 5 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/84 by 5 and of y/60 by 7.
84 = 22 × 3 × 7
60 = 22 × 3 × 5
| Prime | 84 | 60 | Highest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 3 | 3 | 3 | 3 |
| 5 | — | 5 | 5 |
| 7 | 7 | — | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 × 5 × 7 = 420
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See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
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LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 84 | 45 | 1,260 |
| 84 | 46 | 1,932 |
| 84 | 47 | 3,948 |
| 84 | 48 | 336 |
| 84 | 49 | 588 |
| 84 | 50 | 2,100 |
| 84 | 51 | 1,428 |
| 84 | 52 | 1,092 |
| 84 | 53 | 4,452 |
| 84 | 54 | 756 |
| 84 | 55 | 4,620 |
| 84 | 56 | 168 |
| 84 | 57 | 1,596 |
| 84 | 58 | 2,436 |
| 84 | 59 | 4,956 |
| 84 | 60 | 420 |
| 84 | 61 | 5,124 |
| 84 | 62 | 2,604 |
| 84 | 63 | 252 |
| 84 | 64 | 1,344 |
| 84 | 65 | 5,460 |
| 84 | 66 | 924 |
| 84 | 67 | 5,628 |
| 84 | 68 | 1,428 |
| 84 | 69 | 1,932 |
| 84 | 70 | 420 |
| 84 | 71 | 5,964 |
| 84 | 72 | 504 |
| 84 | 73 | 6,132 |
| 84 | 74 | 3,108 |