What is the Least Common Multiple of 56946 and 56952?

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 56946 and 56952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56946 and 56952, than apply into the LCM equation.

GCF(56946,56952) = 6
LCM(56946,56952) = ( 56946 × 56952) / 6
LCM(56946,56952) = 3243188592 / 6
LCM(56946,56952) = 540531432

Least Common Multiple (LCM) of 56946 and 56952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56946 and 56952. First we will calculate the prime factors of 56946 and 56952.

Prime Factorization of 56946

Prime Factorization of 56952

Now multiplying the highest exponent prime factors to calculate the LCM of 56946 and 56952.

LCM(56946,56952) = 2³ × 3² × 9491¹ × 7¹ × 113¹
LCM(56946,56952) = 540531432