What is the Least Common Multiple of 24132 and 24139?

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 24132 and 24139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24132 and 24139, than apply into the LCM equation.

GCF(24132,24139) = 1
LCM(24132,24139) = ( 24132 × 24139) / 1
LCM(24132,24139) = 582522348 / 1
LCM(24132,24139) = 582522348

Least Common Multiple (LCM) of 24132 and 24139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24132 and 24139. First we will calculate the prime factors of 24132 and 24139.

Prime Factorization of 24132

Prime Factorization of 24139

Now multiplying the highest exponent prime factors to calculate the LCM of 24132 and 24139.

LCM(24132,24139) = 2² × 3¹ × 2011¹ × 101¹ × 239¹
LCM(24132,24139) = 582522348