What is the Least Common Multiple of 56745 and 56750?

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 56745 and 56750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56745 and 56750, than apply into the LCM equation.

GCF(56745,56750) = 5
LCM(56745,56750) = ( 56745 × 56750) / 5
LCM(56745,56750) = 3220278750 / 5
LCM(56745,56750) = 644055750

Least Common Multiple (LCM) of 56745 and 56750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56745 and 56750. First we will calculate the prime factors of 56745 and 56750.

Prime Factorization of 56745

Prime Factorization of 56750

Now multiplying the highest exponent prime factors to calculate the LCM of 56745 and 56750.

LCM(56745,56750) = 3² × 5³ × 13¹ × 97¹ × 2¹ × 227¹
LCM(56745,56750) = 644055750