What is the Least Common Multiple of 24096 and 24103?

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 24103 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 24103, than apply into the LCM equation.

GCF(24096,24103) = 1
LCM(24096,24103) = ( 24096 × 24103) / 1
LCM(24096,24103) = 580785888 / 1
LCM(24096,24103) = 580785888

Least Common Multiple (LCM) of 24096 and 24103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24096 and 24103. First we will calculate the prime factors of 24096 and 24103.

Prime Factorization of 24096

Prime Factorization of 24103

Now multiplying the highest exponent prime factors to calculate the LCM of 24096 and 24103.

LCM(24096,24103) = 2⁵ × 3¹ × 251¹ × 24103¹
LCM(24096,24103) = 580785888