What is the Least Common Multiple of 24024 and 24032?

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 24024 and 24032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24024 and 24032, than apply into the LCM equation.

GCF(24024,24032) = 8
LCM(24024,24032) = ( 24024 × 24032) / 8
LCM(24024,24032) = 577344768 / 8
LCM(24024,24032) = 72168096

Least Common Multiple (LCM) of 24024 and 24032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24024 and 24032. First we will calculate the prime factors of 24024 and 24032.

Prime Factorization of 24024

Prime Factorization of 24032

Now multiplying the highest exponent prime factors to calculate the LCM of 24024 and 24032.

LCM(24024,24032) = 2⁵ × 3¹ × 7¹ × 11¹ × 13¹ × 751¹
LCM(24024,24032) = 72168096