What is the Least Common Multiple of 27180 and 27192?

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 27180 and 27192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27180 and 27192, than apply into the LCM equation.

GCF(27180,27192) = 12
LCM(27180,27192) = ( 27180 × 27192) / 12
LCM(27180,27192) = 739078560 / 12
LCM(27180,27192) = 61589880

Least Common Multiple (LCM) of 27180 and 27192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27180 and 27192. First we will calculate the prime factors of 27180 and 27192.

Prime Factorization of 27180

Prime Factorization of 27192

Now multiplying the highest exponent prime factors to calculate the LCM of 27180 and 27192.

LCM(27180,27192) = 2³ × 3² × 5¹ × 151¹ × 11¹ × 103¹
LCM(27180,27192) = 61589880