What is the Least Common Multiple of 72825 and 72837?

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 72825 and 72837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72825 and 72837, than apply into the LCM equation.

GCF(72825,72837) = 3
LCM(72825,72837) = ( 72825 × 72837) / 3
LCM(72825,72837) = 5304354525 / 3
LCM(72825,72837) = 1768118175

Least Common Multiple (LCM) of 72825 and 72837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72825 and 72837. First we will calculate the prime factors of 72825 and 72837.

Prime Factorization of 72825

Prime Factorization of 72837

Now multiplying the highest exponent prime factors to calculate the LCM of 72825 and 72837.

LCM(72825,72837) = 3² × 5² × 971¹ × 8093¹
LCM(72825,72837) = 1768118175