What is the Least Common Multiple of 81144 and 81150?

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 81144 and 81150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81144 and 81150, than apply into the LCM equation.

GCF(81144,81150) = 6
LCM(81144,81150) = ( 81144 × 81150) / 6
LCM(81144,81150) = 6584835600 / 6
LCM(81144,81150) = 1097472600

Least Common Multiple (LCM) of 81144 and 81150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81144 and 81150. First we will calculate the prime factors of 81144 and 81150.

Prime Factorization of 81144

Prime Factorization of 81150

Now multiplying the highest exponent prime factors to calculate the LCM of 81144 and 81150.

LCM(81144,81150) = 2³ × 3² × 7² × 23¹ × 5² × 541¹
LCM(81144,81150) = 1097472600