What is the Least Common Multiple of 81660 and 81672?

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 81660 and 81672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81660 and 81672, than apply into the LCM equation.

GCF(81660,81672) = 12
LCM(81660,81672) = ( 81660 × 81672) / 12
LCM(81660,81672) = 6669335520 / 12
LCM(81660,81672) = 555777960

Least Common Multiple (LCM) of 81660 and 81672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81660 and 81672. First we will calculate the prime factors of 81660 and 81672.

Prime Factorization of 81660

Prime Factorization of 81672

Now multiplying the highest exponent prime factors to calculate the LCM of 81660 and 81672.

LCM(81660,81672) = 2³ × 3¹ × 5¹ × 1361¹ × 41¹ × 83¹
LCM(81660,81672) = 555777960