What is the Least Common Multiple of 88992 and 89004?

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 88992 and 89004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88992 and 89004, than apply into the LCM equation.

GCF(88992,89004) = 12
LCM(88992,89004) = ( 88992 × 89004) / 12
LCM(88992,89004) = 7920643968 / 12
LCM(88992,89004) = 660053664

Least Common Multiple (LCM) of 88992 and 89004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88992 and 89004. First we will calculate the prime factors of 88992 and 89004.

Prime Factorization of 88992

Prime Factorization of 89004

Now multiplying the highest exponent prime factors to calculate the LCM of 88992 and 89004.

LCM(88992,89004) = 2⁵ × 3³ × 103¹ × 7417¹
LCM(88992,89004) = 660053664