What is the Least Common Multiple of 89112 and 89118?

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 89112 and 89118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89112 and 89118, than apply into the LCM equation.

GCF(89112,89118) = 6
LCM(89112,89118) = ( 89112 × 89118) / 6
LCM(89112,89118) = 7941483216 / 6
LCM(89112,89118) = 1323580536

Least Common Multiple (LCM) of 89112 and 89118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89112 and 89118. First we will calculate the prime factors of 89112 and 89118.

Prime Factorization of 89112

Prime Factorization of 89118

Now multiplying the highest exponent prime factors to calculate the LCM of 89112 and 89118.

LCM(89112,89118) = 2³ × 3² × 47¹ × 79¹ × 4951¹
LCM(89112,89118) = 1323580536