What is the Least Common Multiple of 59112 and 59124?

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 59112 and 59124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59112 and 59124, than apply into the LCM equation.

GCF(59112,59124) = 12
LCM(59112,59124) = ( 59112 × 59124) / 12
LCM(59112,59124) = 3494937888 / 12
LCM(59112,59124) = 291244824

Least Common Multiple (LCM) of 59112 and 59124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59112 and 59124. First we will calculate the prime factors of 59112 and 59124.

Prime Factorization of 59112

Prime Factorization of 59124

Now multiplying the highest exponent prime factors to calculate the LCM of 59112 and 59124.

LCM(59112,59124) = 2³ × 3² × 821¹ × 13¹ × 379¹
LCM(59112,59124) = 291244824