What is the Least Common Multiple of 59928 and 59940?

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 59928 and 59940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59928 and 59940, than apply into the LCM equation.

GCF(59928,59940) = 12
LCM(59928,59940) = ( 59928 × 59940) / 12
LCM(59928,59940) = 3592084320 / 12
LCM(59928,59940) = 299340360

Least Common Multiple (LCM) of 59928 and 59940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59928 and 59940. First we will calculate the prime factors of 59928 and 59940.

Prime Factorization of 59928

Prime Factorization of 59940

Now multiplying the highest exponent prime factors to calculate the LCM of 59928 and 59940.

LCM(59928,59940) = 2³ × 3⁴ × 11¹ × 227¹ × 5¹ × 37¹
LCM(59928,59940) = 299340360