What is the Least Common Multiple of 24132 and 24146?

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 24146 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 24146, than apply into the LCM equation.

GCF(24132,24146) = 2
LCM(24132,24146) = ( 24132 × 24146) / 2
LCM(24132,24146) = 582691272 / 2
LCM(24132,24146) = 291345636

Least Common Multiple (LCM) of 24132 and 24146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24132 and 24146. First we will calculate the prime factors of 24132 and 24146.

Prime Factorization of 24132

Prime Factorization of 24146

Now multiplying the highest exponent prime factors to calculate the LCM of 24132 and 24146.

LCM(24132,24146) = 2² × 3¹ × 2011¹ × 12073¹
LCM(24132,24146) = 291345636