What is the Least Common Multiple of 24357 and 24372?

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 24357 and 24372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24357 and 24372, than apply into the LCM equation.

GCF(24357,24372) = 3
LCM(24357,24372) = ( 24357 × 24372) / 3
LCM(24357,24372) = 593628804 / 3
LCM(24357,24372) = 197876268

Least Common Multiple (LCM) of 24357 and 24372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24357 and 24372. First we will calculate the prime factors of 24357 and 24372.

Prime Factorization of 24357

Prime Factorization of 24372

Now multiplying the highest exponent prime factors to calculate the LCM of 24357 and 24372.

LCM(24357,24372) = 3² × 23¹ × 353¹ × 2² × 677¹
LCM(24357,24372) = 197876268