What is the Least Common Multiple of 59946 and 59952?

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 59946 and 59952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59946 and 59952, than apply into the LCM equation.

GCF(59946,59952) = 6
LCM(59946,59952) = ( 59946 × 59952) / 6
LCM(59946,59952) = 3593882592 / 6
LCM(59946,59952) = 598980432

Least Common Multiple (LCM) of 59946 and 59952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59946 and 59952. First we will calculate the prime factors of 59946 and 59952.

Prime Factorization of 59946

Prime Factorization of 59952

Now multiplying the highest exponent prime factors to calculate the LCM of 59946 and 59952.

LCM(59946,59952) = 2⁴ × 3¹ × 97¹ × 103¹ × 1249¹
LCM(59946,59952) = 598980432