What is the Least Common Multiple of 23920 and 23925?

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 23920 and 23925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23920 and 23925, than apply into the LCM equation.

GCF(23920,23925) = 5
LCM(23920,23925) = ( 23920 × 23925) / 5
LCM(23920,23925) = 572286000 / 5
LCM(23920,23925) = 114457200

Least Common Multiple (LCM) of 23920 and 23925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23920 and 23925. First we will calculate the prime factors of 23920 and 23925.

Prime Factorization of 23920

Prime Factorization of 23925

Now multiplying the highest exponent prime factors to calculate the LCM of 23920 and 23925.

LCM(23920,23925) = 2⁴ × 5² × 13¹ × 23¹ × 3¹ × 11¹ × 29¹
LCM(23920,23925) = 114457200