What is the Least Common Multiple of 81168 and 81180?

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 81168 and 81180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81168 and 81180, than apply into the LCM equation.

GCF(81168,81180) = 12
LCM(81168,81180) = ( 81168 × 81180) / 12
LCM(81168,81180) = 6589218240 / 12
LCM(81168,81180) = 549101520

Least Common Multiple (LCM) of 81168 and 81180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81168 and 81180. First we will calculate the prime factors of 81168 and 81180.

Prime Factorization of 81168

Prime Factorization of 81180

Now multiplying the highest exponent prime factors to calculate the LCM of 81168 and 81180.

LCM(81168,81180) = 2⁴ × 3² × 19¹ × 89¹ × 5¹ × 11¹ × 41¹
LCM(81168,81180) = 549101520