LCM for 57 and 60

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What's the Least Common Multiple (LCM) of 57 and 60?

Answer

LCM of 57 and 60 is
1,140

First common multiples: 1,140; 2,280; 3,420; …

1,140 is divisible by both: 1,140 ÷ 57 = 20; 1,140 ÷ 60 = 19 — and 20 and 19 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/57 by 20 and of y/60 by 19.

57 = 3 × 19

60 = 22 × 3 × 5

Prime5760Highest power
2—2222
3333
5—55
1919—19

— = 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 × 19 = 1,140

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LCM Table

Number 1Number 2LCM
5745855
57462,622
57472,679
5748912
57492,793
57502,850
5751969
57522,964
57533,021
57541,026
57553,135
57563,192
575757
57583,306
57593,363
57601,140
57613,477
57623,534
57631,197
57643,648
57653,705
57661,254
57673,819
57683,876
57691,311
57703,990
57714,047
57721,368
57734,161
57744,218

FAQ

What's the Least Common Multiple (LCM) of 57 and 60?

LCM of 57 and 60 is 1,140

How to find the LCM of 57 and 60 using prime factorization?

To find the LCM of 57 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,140.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 57 and 60: LCM = 1,140, GCF = 3.

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