What is the Least Common Multiple of 54360 and 54368?

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 54360 and 54368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54360 and 54368, than apply into the LCM equation.

GCF(54360,54368) = 8
LCM(54360,54368) = ( 54360 × 54368) / 8
LCM(54360,54368) = 2955444480 / 8
LCM(54360,54368) = 369430560

Least Common Multiple (LCM) of 54360 and 54368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54360 and 54368. First we will calculate the prime factors of 54360 and 54368.

Prime Factorization of 54360

Prime Factorization of 54368

Now multiplying the highest exponent prime factors to calculate the LCM of 54360 and 54368.

LCM(54360,54368) = 2⁵ × 3² × 5¹ × 151¹ × 1699¹
LCM(54360,54368) = 369430560