LCM for 37 and 50

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What's the Least Common Multiple (LCM) of 37 and 50?

Answer

LCM of 37 and 50 is
1,850

First common multiples: 1,850; 3,700; 5,550; …

1,850 is divisible by both: 1,850 ÷ 37 = 50; 1,850 ÷ 50 = 37 — and 50 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 50 and of y/50 by 37.

37 and 50 are coprime (GCF = 1), so their LCM is simply the product: 37 × 50 = 1,850.

37 — prime

50 = 2 × 52

Prime3750Highest power
2—22
5—5252
3737—37

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

LCM = 2 × 52 × 37 = 1,850

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LCM Table

Number 1Number 2LCM
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
37552,035
37562,072
37572,109
37582,146
37592,183
37602,220
37612,257
37622,294
37632,331
37642,368

FAQ

What's the Least Common Multiple (LCM) of 37 and 50?

LCM of 37 and 50 is 1,850

How to find the LCM of 37 and 50 using prime factorization?

To find the LCM of 37 and 50, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,850.

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 50: LCM = 1,850, GCF = 1.

See Also