What is the Least Common Multiple of 89116 and 89132?

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 89116 and 89132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89116 and 89132, than apply into the LCM equation.

GCF(89116,89132) = 4
LCM(89116,89132) = ( 89116 × 89132) / 4
LCM(89116,89132) = 7943087312 / 4
LCM(89116,89132) = 1985771828

Least Common Multiple (LCM) of 89116 and 89132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89116 and 89132. First we will calculate the prime factors of 89116 and 89132.

Prime Factorization of 89116

Prime Factorization of 89132

Now multiplying the highest exponent prime factors to calculate the LCM of 89116 and 89132.

LCM(89116,89132) = 2² × 22279¹ × 22283¹
LCM(89116,89132) = 1985771828