What is the Least Common Multiple of 54708 and 54724?

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 54708 and 54724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54708 and 54724, than apply into the LCM equation.

GCF(54708,54724) = 4
LCM(54708,54724) = ( 54708 × 54724) / 4
LCM(54708,54724) = 2993840592 / 4
LCM(54708,54724) = 748460148

Least Common Multiple (LCM) of 54708 and 54724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54708 and 54724. First we will calculate the prime factors of 54708 and 54724.

Prime Factorization of 54708

Prime Factorization of 54724

Now multiplying the highest exponent prime factors to calculate the LCM of 54708 and 54724.

LCM(54708,54724) = 2² × 3¹ × 47¹ × 97¹ × 13681¹
LCM(54708,54724) = 748460148