What is the Least Common Multiple of 89124 and 89134?

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 89134 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 89134, than apply into the LCM equation.

GCF(89124,89134) = 2
LCM(89124,89134) = ( 89124 × 89134) / 2
LCM(89124,89134) = 7943978616 / 2
LCM(89124,89134) = 3971989308

Least Common Multiple (LCM) of 89124 and 89134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89124 and 89134. First we will calculate the prime factors of 89124 and 89134.

Prime Factorization of 89124

Prime Factorization of 89134

Now multiplying the highest exponent prime factors to calculate the LCM of 89124 and 89134.

LCM(89124,89134) = 2² × 3¹ × 7¹ × 1061¹ × 41¹ × 1087¹
LCM(89124,89134) = 3971989308