What is the Least Common Multiple of 89088 and 89104?

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 89104 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 89104, than apply into the LCM equation.

GCF(89088,89104) = 16
LCM(89088,89104) = ( 89088 × 89104) / 16
LCM(89088,89104) = 7938097152 / 16
LCM(89088,89104) = 496131072

Least Common Multiple (LCM) of 89088 and 89104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89088 and 89104. First we will calculate the prime factors of 89088 and 89104.

Prime Factorization of 89088

Prime Factorization of 89104

Now multiplying the highest exponent prime factors to calculate the LCM of 89088 and 89104.

LCM(89088,89104) = 2¹⁰ × 3¹ × 29¹ × 5569¹
LCM(89088,89104) = 496131072