What is the Least Common Multiple of 24096 and 24109?

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 24096 and 24109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24096 and 24109, than apply into the LCM equation.

GCF(24096,24109) = 1
LCM(24096,24109) = ( 24096 × 24109) / 1
LCM(24096,24109) = 580930464 / 1
LCM(24096,24109) = 580930464

Least Common Multiple (LCM) of 24096 and 24109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24096 and 24109. First we will calculate the prime factors of 24096 and 24109.

Prime Factorization of 24096

Prime Factorization of 24109

Now multiplying the highest exponent prime factors to calculate the LCM of 24096 and 24109.

LCM(24096,24109) = 2⁵ × 3¹ × 251¹ × 24109¹
LCM(24096,24109) = 580930464