LCM for 58 and 60
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What's the Least Common Multiple (LCM) of 58 and 60?
Answer
LCM of 58 and 60 is
1,740
First common multiples: 1,740; 3,480; 5,220; …
1,740 is divisible by both: 1,740 ÷ 58 = 30; 1,740 ÷ 60 = 29 — and 30 and 29 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/58 by 30 and of y/60 by 29.
58 = 2 × 29
60 = 22 × 3 × 5
| Prime | 58 | 60 | Highest power |
|---|---|---|---|
| 2 | 2 | 22 | 22 |
| 3 | — | 3 | 3 |
| 5 | — | 5 | 5 |
| 29 | 29 | — | 29 |
— = 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 × 29 = 1,740
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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 |
|---|---|---|
| 58 | 45 | 2,610 |
| 58 | 46 | 1,334 |
| 58 | 47 | 2,726 |
| 58 | 48 | 1,392 |
| 58 | 49 | 2,842 |
| 58 | 50 | 1,450 |
| 58 | 51 | 2,958 |
| 58 | 52 | 1,508 |
| 58 | 53 | 3,074 |
| 58 | 54 | 1,566 |
| 58 | 55 | 3,190 |
| 58 | 56 | 1,624 |
| 58 | 57 | 3,306 |
| 58 | 58 | 58 |
| 58 | 59 | 3,422 |
| 58 | 60 | 1,740 |
| 58 | 61 | 3,538 |
| 58 | 62 | 1,798 |
| 58 | 63 | 3,654 |
| 58 | 64 | 1,856 |
| 58 | 65 | 3,770 |
| 58 | 66 | 1,914 |
| 58 | 67 | 3,886 |
| 58 | 68 | 1,972 |
| 58 | 69 | 4,002 |
| 58 | 70 | 2,030 |
| 58 | 71 | 4,118 |
| 58 | 72 | 2,088 |
| 58 | 73 | 4,234 |
| 58 | 74 | 2,146 |