What is the Least Common Multiple of 56957 and 56972?

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 56957 and 56972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56957 and 56972, than apply into the LCM equation.

GCF(56957,56972) = 1
LCM(56957,56972) = ( 56957 × 56972) / 1
LCM(56957,56972) = 3244954204 / 1
LCM(56957,56972) = 3244954204

Least Common Multiple (LCM) of 56957 and 56972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56957 and 56972. First we will calculate the prime factors of 56957 and 56972.

Prime Factorization of 56957

Prime Factorization of 56972

Now multiplying the highest exponent prime factors to calculate the LCM of 56957 and 56972.

LCM(56957,56972) = 56957¹ × 2² × 14243¹
LCM(56957,56972) = 3244954204