What is the Least Common Multiple of 23925 and 23937?

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 23925 and 23937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23925 and 23937, than apply into the LCM equation.

GCF(23925,23937) = 3
LCM(23925,23937) = ( 23925 × 23937) / 3
LCM(23925,23937) = 572692725 / 3
LCM(23925,23937) = 190897575

Least Common Multiple (LCM) of 23925 and 23937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23925 and 23937. First we will calculate the prime factors of 23925 and 23937.

Prime Factorization of 23925

Prime Factorization of 23937

Now multiplying the highest exponent prime factors to calculate the LCM of 23925 and 23937.

LCM(23925,23937) = 3¹ × 5² × 11¹ × 29¹ × 79¹ × 101¹
LCM(23925,23937) = 190897575