What is the Least Common Multiple of 56928 and 56937?

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 56937 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 56937, than apply into the LCM equation.

GCF(56928,56937) = 3
LCM(56928,56937) = ( 56928 × 56937) / 3
LCM(56928,56937) = 3241309536 / 3
LCM(56928,56937) = 1080436512

Least Common Multiple (LCM) of 56928 and 56937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56928 and 56937. First we will calculate the prime factors of 56928 and 56937.

Prime Factorization of 56928

Prime Factorization of 56937

Now multiplying the highest exponent prime factors to calculate the LCM of 56928 and 56937.

LCM(56928,56937) = 2⁵ × 3¹ × 593¹ × 18979¹
LCM(56928,56937) = 1080436512