GCF and LCM Calculator Logo

What is the Least Common Multiple of 12016 and 12026?

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 12016 and 12026 is 72252208.

LCM(12016,12026) = 72252208

LCM Calculator and
and

Least Common Multiple of 12016 and 12026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12016 and 12026, than apply into the LCM equation.

GCF(12016,12026) = 2
LCM(12016,12026) = ( 12016 × 12026) / 2
LCM(12016,12026) = 144504416 / 2
LCM(12016,12026) = 72252208

Least Common Multiple (LCM) of 12016 and 12026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12016 and 12026. First we will calculate the prime factors of 12016 and 12026.

Prime Factorization of 12016

Prime factors of 12016 are 2, 751. Prime factorization of 12016 in exponential form is:

12016 = 24 × 7511

Prime Factorization of 12026

Prime factors of 12026 are 2, 7, 859. Prime factorization of 12026 in exponential form is:

12026 = 21 × 71 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 12016 and 12026.

LCM(12016,12026) = 24 × 7511 × 71 × 8591
LCM(12016,12026) = 72252208