What is the Least Common Multiple of 54724 and 54738?

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 54724 and 54738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54724 and 54738, than apply into the LCM equation.

GCF(54724,54738) = 2
LCM(54724,54738) = ( 54724 × 54738) / 2
LCM(54724,54738) = 2995482312 / 2
LCM(54724,54738) = 1497741156

Least Common Multiple (LCM) of 54724 and 54738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54724 and 54738. First we will calculate the prime factors of 54724 and 54738.

Prime Factorization of 54724

Prime Factorization of 54738

Now multiplying the highest exponent prime factors to calculate the LCM of 54724 and 54738.

LCM(54724,54738) = 2² × 13681¹ × 3² × 3041¹
LCM(54724,54738) = 1497741156