What is the Least Common Multiple of 56364 and 56375?

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 56364 and 56375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56364 and 56375, than apply into the LCM equation.

GCF(56364,56375) = 11
LCM(56364,56375) = ( 56364 × 56375) / 11
LCM(56364,56375) = 3177520500 / 11
LCM(56364,56375) = 288865500

Least Common Multiple (LCM) of 56364 and 56375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56364 and 56375. First we will calculate the prime factors of 56364 and 56375.

Prime Factorization of 56364

Prime Factorization of 56375

Now multiplying the highest exponent prime factors to calculate the LCM of 56364 and 56375.

LCM(56364,56375) = 2² × 3¹ × 7¹ × 11¹ × 61¹ × 5³ × 41¹
LCM(56364,56375) = 288865500