What is the Least Common Multiple of 24357 and 24364?

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 24364 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 24364, than apply into the LCM equation.

GCF(24357,24364) = 1
LCM(24357,24364) = ( 24357 × 24364) / 1
LCM(24357,24364) = 593433948 / 1
LCM(24357,24364) = 593433948

Least Common Multiple (LCM) of 24357 and 24364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24357 and 24364. First we will calculate the prime factors of 24357 and 24364.

Prime Factorization of 24357

Prime Factorization of 24364

Now multiplying the highest exponent prime factors to calculate the LCM of 24357 and 24364.

LCM(24357,24364) = 3¹ × 23¹ × 353¹ × 2² × 6091¹
LCM(24357,24364) = 593433948