What is the Least Common Multiple of 59424 and 59440?

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 59424 and 59440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59424 and 59440, than apply into the LCM equation.

GCF(59424,59440) = 16
LCM(59424,59440) = ( 59424 × 59440) / 16
LCM(59424,59440) = 3532162560 / 16
LCM(59424,59440) = 220760160

Least Common Multiple (LCM) of 59424 and 59440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59424 and 59440. First we will calculate the prime factors of 59424 and 59440.

Prime Factorization of 59424

Prime Factorization of 59440

Now multiplying the highest exponent prime factors to calculate the LCM of 59424 and 59440.

LCM(59424,59440) = 2⁵ × 3¹ × 619¹ × 5¹ × 743¹
LCM(59424,59440) = 220760160