What is the Least Common Multiple of 37452 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 37452 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 37452 and 37464, than apply into the LCM equation.

GCF(37452,37464) = 12
LCM(37452,37464) = ( 37452 × 37464) / 12
LCM(37452,37464) = 1403101728 / 12
LCM(37452,37464) = 116925144

Least Common Multiple (LCM) of 37452 and 37464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37452 and 37464. First we will calculate the prime factors of 37452 and 37464.

Prime Factorization of 37452

Prime Factorization of 37464

Now multiplying the highest exponent prime factors to calculate the LCM of 37452 and 37464.

LCM(37452,37464) = 2³ × 3¹ × 3121¹ × 7¹ × 223¹
LCM(37452,37464) = 116925144