What is the Least Common Multiple of 56914 and 56928?

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 56914 and 56928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56914 and 56928, than apply into the LCM equation.

GCF(56914,56928) = 2
LCM(56914,56928) = ( 56914 × 56928) / 2
LCM(56914,56928) = 3240000192 / 2
LCM(56914,56928) = 1620000096

Least Common Multiple (LCM) of 56914 and 56928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56914 and 56928. First we will calculate the prime factors of 56914 and 56928.

Prime Factorization of 56914

Prime Factorization of 56928

Now multiplying the highest exponent prime factors to calculate the LCM of 56914 and 56928.

LCM(56914,56928) = 2⁵ × 11¹ × 13¹ × 199¹ × 3¹ × 593¹
LCM(56914,56928) = 1620000096