LCM for 37 and 56

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What's the Least Common Multiple (LCM) of 37 and 56?

Answer

LCM of 37 and 56 is
2,072

First common multiples: 2,072; 4,144; 6,216; …

2,072 is divisible by both: 2,072 ÷ 37 = 56; 2,072 ÷ 56 = 37 — and 56 and 37 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/37 by 56 and of y/56 by 37.

37 and 56 are coprime (GCF = 1), so their LCM is simply the product: 37 × 56 = 2,072.

37 — prime

56 = 23 × 7

Prime3756Highest power
2—2323
7—77
3737—37

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 23 × 7 × 37 = 2,072

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LCM Table

Number 1Number 2LCM
37411,517
37421,554
37431,591
37441,628
37451,665
37461,702
37471,739
37481,776
37491,813
37501,850
37511,887
37521,924
37531,961
37541,998
37552,035
37562,072
37572,109
37582,146
37592,183
37602,220
37612,257
37622,294
37632,331
37642,368
37652,405
37662,442
37672,479
37682,516
37692,553
37702,590

FAQ

What's the Least Common Multiple (LCM) of 37 and 56?

LCM of 37 and 56 is 2,072

How to find the LCM of 37 and 56 using prime factorization?

To find the LCM of 37 and 56, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,072.

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 37 and 56: LCM = 2,072, GCF = 1.

See Also