What is the Least Common Multiple of 56928 and 56946?

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 56928 and 56946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56928 and 56946, than apply into the LCM equation.

GCF(56928,56946) = 6
LCM(56928,56946) = ( 56928 × 56946) / 6
LCM(56928,56946) = 3241821888 / 6
LCM(56928,56946) = 540303648

Least Common Multiple (LCM) of 56928 and 56946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56928 and 56946. First we will calculate the prime factors of 56928 and 56946.

Prime Factorization of 56928

Prime Factorization of 56946

Now multiplying the highest exponent prime factors to calculate the LCM of 56928 and 56946.

LCM(56928,56946) = 2⁵ × 3¹ × 593¹ × 9491¹
LCM(56928,56946) = 540303648