What is the Least Common Multiple of 72906 and 72924?

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 72906 and 72924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72906 and 72924, than apply into the LCM equation.

GCF(72906,72924) = 6
LCM(72906,72924) = ( 72906 × 72924) / 6
LCM(72906,72924) = 5316597144 / 6
LCM(72906,72924) = 886099524

Least Common Multiple (LCM) of 72906 and 72924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72906 and 72924. First we will calculate the prime factors of 72906 and 72924.

Prime Factorization of 72906

Prime Factorization of 72924

Now multiplying the highest exponent prime factors to calculate the LCM of 72906 and 72924.

LCM(72906,72924) = 2² × 3¹ × 29¹ × 419¹ × 59¹ × 103¹
LCM(72906,72924) = 886099524