What is the Least Common Multiple of 54684 and 54700?

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 54684 and 54700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54684 and 54700, than apply into the LCM equation.

GCF(54684,54700) = 4
LCM(54684,54700) = ( 54684 × 54700) / 4
LCM(54684,54700) = 2991214800 / 4
LCM(54684,54700) = 747803700

Least Common Multiple (LCM) of 54684 and 54700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54684 and 54700. First we will calculate the prime factors of 54684 and 54700.

Prime Factorization of 54684

Prime Factorization of 54700

Now multiplying the highest exponent prime factors to calculate the LCM of 54684 and 54700.

LCM(54684,54700) = 2² × 3² × 7² × 31¹ × 5² × 547¹
LCM(54684,54700) = 747803700