What is the Least Common Multiple of 89074 and 89088?

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 89074 and 89088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89074 and 89088, than apply into the LCM equation.

GCF(89074,89088) = 2
LCM(89074,89088) = ( 89074 × 89088) / 2
LCM(89074,89088) = 7935424512 / 2
LCM(89074,89088) = 3967712256

Least Common Multiple (LCM) of 89074 and 89088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89074 and 89088. First we will calculate the prime factors of 89074 and 89088.

Prime Factorization of 89074

Prime Factorization of 89088

Now multiplying the highest exponent prime factors to calculate the LCM of 89074 and 89088.

LCM(89074,89088) = 2¹⁰ × 44537¹ × 3¹ × 29¹
LCM(89074,89088) = 3967712256