What is the Least Common Multiple of 24339 and 24353?

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 24353 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 24353, than apply into the LCM equation.

GCF(24339,24353) = 7
LCM(24339,24353) = ( 24339 × 24353) / 7
LCM(24339,24353) = 592727667 / 7
LCM(24339,24353) = 84675381

Least Common Multiple (LCM) of 24339 and 24353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24339 and 24353. First we will calculate the prime factors of 24339 and 24353.

Prime Factorization of 24339

Prime Factorization of 24353

Now multiplying the highest exponent prime factors to calculate the LCM of 24339 and 24353.

LCM(24339,24353) = 3¹ × 7³ × 19¹ × 61¹ × 71¹
LCM(24339,24353) = 84675381