What is the Least Common Multiple of 56375 and 56380?

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 56375 and 56380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56375 and 56380, than apply into the LCM equation.

GCF(56375,56380) = 5
LCM(56375,56380) = ( 56375 × 56380) / 5
LCM(56375,56380) = 3178422500 / 5
LCM(56375,56380) = 635684500

Least Common Multiple (LCM) of 56375 and 56380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56375 and 56380. First we will calculate the prime factors of 56375 and 56380.

Prime Factorization of 56375

Prime Factorization of 56380

Now multiplying the highest exponent prime factors to calculate the LCM of 56375 and 56380.

LCM(56375,56380) = 5³ × 11¹ × 41¹ × 2² × 2819¹
LCM(56375,56380) = 635684500