What is the Least Common Multiple of 54984 and 55004?

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 54984 and 55004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54984 and 55004, than apply into the LCM equation.

GCF(54984,55004) = 4
LCM(54984,55004) = ( 54984 × 55004) / 4
LCM(54984,55004) = 3024339936 / 4
LCM(54984,55004) = 756084984

Least Common Multiple (LCM) of 54984 and 55004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54984 and 55004. First we will calculate the prime factors of 54984 and 55004.

Prime Factorization of 54984

Prime Factorization of 55004

Now multiplying the highest exponent prime factors to calculate the LCM of 54984 and 55004.

LCM(54984,55004) = 2³ × 3¹ × 29¹ × 79¹ × 13751¹
LCM(54984,55004) = 756084984