What is the Least Common Multiple of 13008 and 13024?

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 13008 and 13024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13008 and 13024, than apply into the LCM equation.

GCF(13008,13024) = 16
LCM(13008,13024) = ( 13008 × 13024) / 16
LCM(13008,13024) = 169416192 / 16
LCM(13008,13024) = 10588512

Least Common Multiple (LCM) of 13008 and 13024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13008 and 13024. First we will calculate the prime factors of 13008 and 13024.

Prime Factorization of 13008

Prime Factorization of 13024

Now multiplying the highest exponent prime factors to calculate the LCM of 13008 and 13024.

LCM(13008,13024) = 2⁵ × 3¹ × 271¹ × 11¹ × 37¹
LCM(13008,13024) = 10588512