What is the Least Common Multiple of 90084 and 90088?

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 90084 and 90088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90084 and 90088, than apply into the LCM equation.

GCF(90084,90088) = 4
LCM(90084,90088) = ( 90084 × 90088) / 4
LCM(90084,90088) = 8115487392 / 4
LCM(90084,90088) = 2028871848

Least Common Multiple (LCM) of 90084 and 90088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90084 and 90088. First we will calculate the prime factors of 90084 and 90088.

Prime Factorization of 90084

Prime Factorization of 90088

Now multiplying the highest exponent prime factors to calculate the LCM of 90084 and 90088.

LCM(90084,90088) = 2³ × 3¹ × 7507¹ × 11261¹
LCM(90084,90088) = 2028871848