What is the Least Common Multiple of 59509 and 59524?

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 59509 and 59524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59509 and 59524, than apply into the LCM equation.

GCF(59509,59524) = 1
LCM(59509,59524) = ( 59509 × 59524) / 1
LCM(59509,59524) = 3542213716 / 1
LCM(59509,59524) = 3542213716

Least Common Multiple (LCM) of 59509 and 59524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59509 and 59524. First we will calculate the prime factors of 59509 and 59524.

Prime Factorization of 59509

Prime Factorization of 59524

Now multiplying the highest exponent prime factors to calculate the LCM of 59509 and 59524.

LCM(59509,59524) = 59509¹ × 2² × 23¹ × 647¹
LCM(59509,59524) = 3542213716