What is the Least Common Multiple of 56657 and 56675?

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 56657 and 56675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56657 and 56675, than apply into the LCM equation.

GCF(56657,56675) = 1
LCM(56657,56675) = ( 56657 × 56675) / 1
LCM(56657,56675) = 3211035475 / 1
LCM(56657,56675) = 3211035475

Least Common Multiple (LCM) of 56657 and 56675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56657 and 56675. First we will calculate the prime factors of 56657 and 56675.

Prime Factorization of 56657

Prime Factorization of 56675

Now multiplying the highest exponent prime factors to calculate the LCM of 56657 and 56675.

LCM(56657,56675) = 53¹ × 1069¹ × 5² × 2267¹
LCM(56657,56675) = 3211035475