What is the Least Common Multiple of 37632 and 37646?

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 37632 and 37646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37632 and 37646, than apply into the LCM equation.

GCF(37632,37646) = 14
LCM(37632,37646) = ( 37632 × 37646) / 14
LCM(37632,37646) = 1416694272 / 14
LCM(37632,37646) = 101192448

Least Common Multiple (LCM) of 37632 and 37646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37632 and 37646. First we will calculate the prime factors of 37632 and 37646.

Prime Factorization of 37632

Prime Factorization of 37646

Now multiplying the highest exponent prime factors to calculate the LCM of 37632 and 37646.

LCM(37632,37646) = 2⁸ × 3¹ × 7² × 2689¹
LCM(37632,37646) = 101192448