What is the Least Common Multiple of 54249 and 54264?

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 54249 and 54264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54249 and 54264, than apply into the LCM equation.

GCF(54249,54264) = 3
LCM(54249,54264) = ( 54249 × 54264) / 3
LCM(54249,54264) = 2943767736 / 3
LCM(54249,54264) = 981255912

Least Common Multiple (LCM) of 54249 and 54264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54249 and 54264. First we will calculate the prime factors of 54249 and 54264.

Prime Factorization of 54249

Prime Factorization of 54264

Now multiplying the highest exponent prime factors to calculate the LCM of 54249 and 54264.

LCM(54249,54264) = 3¹ × 13² × 107¹ × 2³ × 7¹ × 17¹ × 19¹
LCM(54249,54264) = 981255912