What is the Least Common Multiple of 36024 and 36028?

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 36024 and 36028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36024 and 36028, than apply into the LCM equation.

GCF(36024,36028) = 4
LCM(36024,36028) = ( 36024 × 36028) / 4
LCM(36024,36028) = 1297872672 / 4
LCM(36024,36028) = 324468168

Least Common Multiple (LCM) of 36024 and 36028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36024 and 36028. First we will calculate the prime factors of 36024 and 36028.

Prime Factorization of 36024

Prime Factorization of 36028

Now multiplying the highest exponent prime factors to calculate the LCM of 36024 and 36028.

LCM(36024,36028) = 2³ × 3¹ × 19¹ × 79¹ × 9007¹
LCM(36024,36028) = 324468168