What is the Least Common Multiple of 56928 and 56940?

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 56940 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 56940, than apply into the LCM equation.

GCF(56928,56940) = 12
LCM(56928,56940) = ( 56928 × 56940) / 12
LCM(56928,56940) = 3241480320 / 12
LCM(56928,56940) = 270123360

Least Common Multiple (LCM) of 56928 and 56940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56928 and 56940. First we will calculate the prime factors of 56928 and 56940.

Prime Factorization of 56928

Prime Factorization of 56940

Now multiplying the highest exponent prime factors to calculate the LCM of 56928 and 56940.

LCM(56928,56940) = 2⁵ × 3¹ × 593¹ × 5¹ × 13¹ × 73¹
LCM(56928,56940) = 270123360