What is the Least Common Multiple of 59538 and 59544?

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 59538 and 59544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59538 and 59544, than apply into the LCM equation.

GCF(59538,59544) = 6
LCM(59538,59544) = ( 59538 × 59544) / 6
LCM(59538,59544) = 3545130672 / 6
LCM(59538,59544) = 590855112

Least Common Multiple (LCM) of 59538 and 59544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59538 and 59544. First we will calculate the prime factors of 59538 and 59544.

Prime Factorization of 59538

Prime Factorization of 59544

Now multiplying the highest exponent prime factors to calculate the LCM of 59538 and 59544.

LCM(59538,59544) = 2³ × 3² × 9923¹ × 827¹
LCM(59538,59544) = 590855112