What is the Least Common Multiple of 54180 and 54189?

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 54180 and 54189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54180 and 54189, than apply into the LCM equation.

GCF(54180,54189) = 9
LCM(54180,54189) = ( 54180 × 54189) / 9
LCM(54180,54189) = 2935960020 / 9
LCM(54180,54189) = 326217780

Least Common Multiple (LCM) of 54180 and 54189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54180 and 54189. First we will calculate the prime factors of 54180 and 54189.

Prime Factorization of 54180

Prime Factorization of 54189

Now multiplying the highest exponent prime factors to calculate the LCM of 54180 and 54189.

LCM(54180,54189) = 2² × 3⁵ × 5¹ × 7¹ × 43¹ × 223¹
LCM(54180,54189) = 326217780