LCM for 37 and 40

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What's the Least Common Multiple (LCM) of 37 and 40?

Answer

LCM of 37 and 40 is
1,480

First common multiples: 1,480; 2,960; 4,440; …

1,480 is divisible by both: 1,480 ÷ 37 = 40; 1,480 ÷ 40 = 37 — and 40 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 40 and of y/40 by 37.

37 and 40 are coprime (GCF = 1), so their LCM is simply the product: 37 × 40 = 1,480.

37 — prime

40 = 23 × 5

Prime3740Highest power
2—2323
5—55
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 × 5 × 37 = 1,480

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LCM Table

Number 1Number 2LCM
3725925
3726962
3727999
37281,036
37291,073
37301,110
37311,147
37321,184
37331,221
37341,258
37351,295
37361,332
373737
37381,406
37391,443
37401,480
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

FAQ

What's the Least Common Multiple (LCM) of 37 and 40?

LCM of 37 and 40 is 1,480

How to find the LCM of 37 and 40 using prime factorization?

To find the LCM of 37 and 40, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,480.

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 40: LCM = 1,480, GCF = 1.

See Also