What is the Least Common Multiple of 37457 and 37464?

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 of 37457 and 37464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37457 and 37464, than apply into the LCM equation.

GCF(37457,37464) = 7
LCM(37457,37464) = ( 37457 × 37464) / 7
LCM(37457,37464) = 1403289048 / 7
LCM(37457,37464) = 200469864

Least Common Multiple (LCM) of 37457 and 37464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37457 and 37464. First we will calculate the prime factors of 37457 and 37464.

Prime Factorization of 37457

Prime Factorization of 37464

Now multiplying the highest exponent prime factors to calculate the LCM of 37457 and 37464.

LCM(37457,37464) = 7¹ × 5351¹ × 2³ × 3¹ × 223¹
LCM(37457,37464) = 200469864