What is the Least Common Multiple of 24342 and 24358?

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 24342 and 24358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24342 and 24358, than apply into the LCM equation.

GCF(24342,24358) = 2
LCM(24342,24358) = ( 24342 × 24358) / 2
LCM(24342,24358) = 592922436 / 2
LCM(24342,24358) = 296461218

Least Common Multiple (LCM) of 24342 and 24358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24342 and 24358. First we will calculate the prime factors of 24342 and 24358.

Prime Factorization of 24342

Prime Factorization of 24358

Now multiplying the highest exponent prime factors to calculate the LCM of 24342 and 24358.

LCM(24342,24358) = 2¹ × 3¹ × 4057¹ × 19¹ × 641¹
LCM(24342,24358) = 296461218