What is the Least Common Multiple of 54744 and 54756?

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 54744 and 54756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54744 and 54756, than apply into the LCM equation.

GCF(54744,54756) = 12
LCM(54744,54756) = ( 54744 × 54756) / 12
LCM(54744,54756) = 2997562464 / 12
LCM(54744,54756) = 249796872

Least Common Multiple (LCM) of 54744 and 54756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54744 and 54756. First we will calculate the prime factors of 54744 and 54756.

Prime Factorization of 54744

Prime Factorization of 54756

Now multiplying the highest exponent prime factors to calculate the LCM of 54744 and 54756.

LCM(54744,54756) = 2³ × 3⁴ × 2281¹ × 13²
LCM(54744,54756) = 249796872