What is the Least Common Multiple of 89008 and 89024?

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 89008 and 89024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89008 and 89024, than apply into the LCM equation.

GCF(89008,89024) = 16
LCM(89008,89024) = ( 89008 × 89024) / 16
LCM(89008,89024) = 7923848192 / 16
LCM(89008,89024) = 495240512

Least Common Multiple (LCM) of 89008 and 89024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89008 and 89024. First we will calculate the prime factors of 89008 and 89024.

Prime Factorization of 89008

Prime Factorization of 89024

Now multiplying the highest exponent prime factors to calculate the LCM of 89008 and 89024.

LCM(89008,89024) = 2⁶ × 5563¹ × 13¹ × 107¹
LCM(89008,89024) = 495240512