What is the Least Common Multiple of 88992 and 89008?

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 89008 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 89008, than apply into the LCM equation.

GCF(88992,89008) = 16
LCM(88992,89008) = ( 88992 × 89008) / 16
LCM(88992,89008) = 7920999936 / 16
LCM(88992,89008) = 495062496

Least Common Multiple (LCM) of 88992 and 89008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88992 and 89008. First we will calculate the prime factors of 88992 and 89008.

Prime Factorization of 88992

Prime Factorization of 89008

Now multiplying the highest exponent prime factors to calculate the LCM of 88992 and 89008.

LCM(88992,89008) = 2⁵ × 3³ × 103¹ × 5563¹
LCM(88992,89008) = 495062496