What is the Least Common Multiple of 90324 and 90336?

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 90324 and 90336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90324 and 90336, than apply into the LCM equation.

GCF(90324,90336) = 12
LCM(90324,90336) = ( 90324 × 90336) / 12
LCM(90324,90336) = 8159508864 / 12
LCM(90324,90336) = 679959072

Least Common Multiple (LCM) of 90324 and 90336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90324 and 90336. First we will calculate the prime factors of 90324 and 90336.

Prime Factorization of 90324

Prime Factorization of 90336

Now multiplying the highest exponent prime factors to calculate the LCM of 90324 and 90336.

LCM(90324,90336) = 2⁵ × 3² × 13¹ × 193¹ × 941¹
LCM(90324,90336) = 679959072