What is the Least Common Multiple of 89088 and 89108?

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 89088 and 89108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89088 and 89108, than apply into the LCM equation.

GCF(89088,89108) = 4
LCM(89088,89108) = ( 89088 × 89108) / 4
LCM(89088,89108) = 7938453504 / 4
LCM(89088,89108) = 1984613376

Least Common Multiple (LCM) of 89088 and 89108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89088 and 89108. First we will calculate the prime factors of 89088 and 89108.

Prime Factorization of 89088

Prime Factorization of 89108

Now multiplying the highest exponent prime factors to calculate the LCM of 89088 and 89108.

LCM(89088,89108) = 2¹⁰ × 3¹ × 29¹ × 22277¹
LCM(89088,89108) = 1984613376