What is the Least Common Multiple of 54180 and 54192?

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 54192 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 54192, than apply into the LCM equation.

GCF(54180,54192) = 12
LCM(54180,54192) = ( 54180 × 54192) / 12
LCM(54180,54192) = 2936122560 / 12
LCM(54180,54192) = 244676880

Least Common Multiple (LCM) of 54180 and 54192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54180 and 54192. First we will calculate the prime factors of 54180 and 54192.

Prime Factorization of 54180

Prime Factorization of 54192

Now multiplying the highest exponent prime factors to calculate the LCM of 54180 and 54192.

LCM(54180,54192) = 2⁴ × 3² × 5¹ × 7¹ × 43¹ × 1129¹
LCM(54180,54192) = 244676880