What is the Least Common Multiple of 53646 and 53657?

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 53646 and 53657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53646 and 53657, than apply into the LCM equation.

GCF(53646,53657) = 1
LCM(53646,53657) = ( 53646 × 53657) / 1
LCM(53646,53657) = 2878483422 / 1
LCM(53646,53657) = 2878483422

Least Common Multiple (LCM) of 53646 and 53657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53646 and 53657. First we will calculate the prime factors of 53646 and 53657.

Prime Factorization of 53646

Prime Factorization of 53657

Now multiplying the highest exponent prime factors to calculate the LCM of 53646 and 53657.

LCM(53646,53657) = 2¹ × 3¹ × 8941¹ × 53657¹
LCM(53646,53657) = 2878483422