What is the Least Common Multiple of 59124 and 59144?

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 59124 and 59144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59124 and 59144, than apply into the LCM equation.

GCF(59124,59144) = 4
LCM(59124,59144) = ( 59124 × 59144) / 4
LCM(59124,59144) = 3496829856 / 4
LCM(59124,59144) = 874207464

Least Common Multiple (LCM) of 59124 and 59144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59124 and 59144. First we will calculate the prime factors of 59124 and 59144.

Prime Factorization of 59124

Prime Factorization of 59144

Now multiplying the highest exponent prime factors to calculate the LCM of 59124 and 59144.

LCM(59124,59144) = 2³ × 3¹ × 13¹ × 379¹ × 7393¹
LCM(59124,59144) = 874207464