What is the Least Common Multiple of 24006 and 24019?

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 24006 and 24019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24006 and 24019, than apply into the LCM equation.

GCF(24006,24019) = 1
LCM(24006,24019) = ( 24006 × 24019) / 1
LCM(24006,24019) = 576600114 / 1
LCM(24006,24019) = 576600114

Least Common Multiple (LCM) of 24006 and 24019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24006 and 24019. First we will calculate the prime factors of 24006 and 24019.

Prime Factorization of 24006

Prime Factorization of 24019

Now multiplying the highest exponent prime factors to calculate the LCM of 24006 and 24019.

LCM(24006,24019) = 2¹ × 3¹ × 4001¹ × 24019¹
LCM(24006,24019) = 576600114