What is the Least Common Multiple of 59952 and 59961?

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 59952 and 59961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59952 and 59961, than apply into the LCM equation.

GCF(59952,59961) = 3
LCM(59952,59961) = ( 59952 × 59961) / 3
LCM(59952,59961) = 3594781872 / 3
LCM(59952,59961) = 1198260624

Least Common Multiple (LCM) of 59952 and 59961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59952 and 59961. First we will calculate the prime factors of 59952 and 59961.

Prime Factorization of 59952

Prime Factorization of 59961

Now multiplying the highest exponent prime factors to calculate the LCM of 59952 and 59961.

LCM(59952,59961) = 2⁴ × 3¹ × 1249¹ × 11¹ × 23¹ × 79¹
LCM(59952,59961) = 1198260624