What is the Least Common Multiple of 54658 and 54676?

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 54658 and 54676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54658 and 54676, than apply into the LCM equation.

GCF(54658,54676) = 2
LCM(54658,54676) = ( 54658 × 54676) / 2
LCM(54658,54676) = 2988480808 / 2
LCM(54658,54676) = 1494240404

Least Common Multiple (LCM) of 54658 and 54676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54658 and 54676. First we will calculate the prime factors of 54658 and 54676.

Prime Factorization of 54658

Prime Factorization of 54676

Now multiplying the highest exponent prime factors to calculate the LCM of 54658 and 54676.

LCM(54658,54676) = 2² × 27329¹ × 13669¹
LCM(54658,54676) = 1494240404