What is the Least Common Multiple of 54657 and 54668?

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 54657 and 54668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54657 and 54668, than apply into the LCM equation.

GCF(54657,54668) = 1
LCM(54657,54668) = ( 54657 × 54668) / 1
LCM(54657,54668) = 2987988876 / 1
LCM(54657,54668) = 2987988876

Least Common Multiple (LCM) of 54657 and 54668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54657 and 54668. First we will calculate the prime factors of 54657 and 54668.

Prime Factorization of 54657

Prime Factorization of 54668

Now multiplying the highest exponent prime factors to calculate the LCM of 54657 and 54668.

LCM(54657,54668) = 3² × 6073¹ × 2² × 79¹ × 173¹
LCM(54657,54668) = 2987988876