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What is the Least Common Multiple of 37 and 46?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 37 and 46 is 1702.

LCM(37,46) = 1702

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Least Common Multiple of 37 and 46 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37 and 46, than apply into the LCM equation.

GCF(37,46) = 1
LCM(37,46) = ( 37 × 46) / 1
LCM(37,46) = 1702 / 1
LCM(37,46) = 1702

Least Common Multiple (LCM) of 37 and 46 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37 and 46. First we will calculate the prime factors of 37 and 46.

Prime Factorization of 37

Prime factors of 37 are 37. Prime factorization of 37 in exponential form is:

37 = 371

Prime Factorization of 46

Prime factors of 46 are 2, 23. Prime factorization of 46 in exponential form is:

46 = 21 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 37 and 46.

LCM(37,46) = 371 × 21 × 231
LCM(37,46) = 1702

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