What is the Least Common Multiple of 89124 and 89136?

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 89124 and 89136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89124 and 89136, than apply into the LCM equation.

GCF(89124,89136) = 12
LCM(89124,89136) = ( 89124 × 89136) / 12
LCM(89124,89136) = 7944156864 / 12
LCM(89124,89136) = 662013072

Least Common Multiple (LCM) of 89124 and 89136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89124 and 89136. First we will calculate the prime factors of 89124 and 89136.

Prime Factorization of 89124

Prime Factorization of 89136

Now multiplying the highest exponent prime factors to calculate the LCM of 89124 and 89136.

LCM(89124,89136) = 2⁴ × 3² × 7¹ × 1061¹ × 619¹
LCM(89124,89136) = 662013072