What is the Least Common Multiple of 54240 and 54249?

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 54240 and 54249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54240 and 54249, than apply into the LCM equation.

GCF(54240,54249) = 3
LCM(54240,54249) = ( 54240 × 54249) / 3
LCM(54240,54249) = 2942465760 / 3
LCM(54240,54249) = 980821920

Least Common Multiple (LCM) of 54240 and 54249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54240 and 54249. First we will calculate the prime factors of 54240 and 54249.

Prime Factorization of 54240

Prime Factorization of 54249

Now multiplying the highest exponent prime factors to calculate the LCM of 54240 and 54249.

LCM(54240,54249) = 2⁵ × 3¹ × 5¹ × 113¹ × 13² × 107¹
LCM(54240,54249) = 980821920