What is the Least Common Multiple of 23925 and 23940?

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 23940 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 23940, than apply into the LCM equation.

GCF(23925,23940) = 15
LCM(23925,23940) = ( 23925 × 23940) / 15
LCM(23925,23940) = 572764500 / 15
LCM(23925,23940) = 38184300

Least Common Multiple (LCM) of 23925 and 23940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23925 and 23940. First we will calculate the prime factors of 23925 and 23940.

Prime Factorization of 23925

Prime Factorization of 23940

Now multiplying the highest exponent prime factors to calculate the LCM of 23925 and 23940.

LCM(23925,23940) = 3² × 5² × 11¹ × 29¹ × 2² × 7¹ × 19¹
LCM(23925,23940) = 38184300