What is the Least Common Multiple of 24339 and 24357?

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 24339 and 24357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24339 and 24357, than apply into the LCM equation.

GCF(24339,24357) = 3
LCM(24339,24357) = ( 24339 × 24357) / 3
LCM(24339,24357) = 592825023 / 3
LCM(24339,24357) = 197608341

Least Common Multiple (LCM) of 24339 and 24357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24339 and 24357. First we will calculate the prime factors of 24339 and 24357.

Prime Factorization of 24339

Prime Factorization of 24357

Now multiplying the highest exponent prime factors to calculate the LCM of 24339 and 24357.

LCM(24339,24357) = 3¹ × 7¹ × 19¹ × 61¹ × 23¹ × 353¹
LCM(24339,24357) = 197608341