GCF and LCM Calculator Logo

What is the Least Common Multiple of 13016 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 (LCM) of 13016 and 13024 is 21190048.

LCM(13016,13024) = 21190048

LCM Calculator and
and

Least Common Multiple of 13016 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 13016 and 13024, than apply into the LCM equation.

GCF(13016,13024) = 8
LCM(13016,13024) = ( 13016 × 13024) / 8
LCM(13016,13024) = 169520384 / 8
LCM(13016,13024) = 21190048

Least Common Multiple (LCM) of 13016 and 13024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13016 and 13024. First we will calculate the prime factors of 13016 and 13024.

Prime Factorization of 13016

Prime factors of 13016 are 2, 1627. Prime factorization of 13016 in exponential form is:

13016 = 23 × 16271

Prime Factorization of 13024

Prime factors of 13024 are 2, 11, 37. Prime factorization of 13024 in exponential form is:

13024 = 25 × 111 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 13016 and 13024.

LCM(13016,13024) = 25 × 16271 × 111 × 371
LCM(13016,13024) = 21190048