What is the Least Common Multiple of 54360 and 54375?

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 54375 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 54375, than apply into the LCM equation.

GCF(54360,54375) = 15
LCM(54360,54375) = ( 54360 × 54375) / 15
LCM(54360,54375) = 2955825000 / 15
LCM(54360,54375) = 197055000

Least Common Multiple (LCM) of 54360 and 54375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54360 and 54375. First we will calculate the prime factors of 54360 and 54375.

Prime Factorization of 54360

Prime Factorization of 54375

Now multiplying the highest exponent prime factors to calculate the LCM of 54360 and 54375.

LCM(54360,54375) = 2³ × 3² × 5⁴ × 151¹ × 29¹
LCM(54360,54375) = 197055000