LCM for 37 and 67

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What's the Least Common Multiple (LCM) of 37 and 67?

Answer

LCM of 37 and 67 is
2,479

First common multiples: 2,479; 4,958; 7,437; …

2,479 is divisible by both: 2,479 ÷ 37 = 67; 2,479 ÷ 67 = 37 — and 67 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 67 and of y/67 by 37.

37 and 67 are coprime (GCF = 1), so their LCM is simply the product: 37 × 67 = 2,479.

37 — prime

67 — prime

Prime3767Highest power
3737—37
67—6767

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

LCM = 37 × 67 = 2,479

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
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
37712,627
37722,664
37732,701
377474
37752,775
37762,812
37772,849
37782,886
37792,923
37802,960
37812,997

FAQ

What's the Least Common Multiple (LCM) of 37 and 67?

LCM of 37 and 67 is 2,479

How to find the LCM of 37 and 67 using prime factorization?

To find the LCM of 37 and 67, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,479.

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 67: LCM = 2,479, GCF = 1.