GCF and LCM Calculator Logo

What is the Least Common Multiple of 12484 and 12489?

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 12484 and 12489 is 155912676.

LCM(12484,12489) = 155912676

LCM Calculator and
and

Least Common Multiple of 12484 and 12489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12484 and 12489, than apply into the LCM equation.

GCF(12484,12489) = 1
LCM(12484,12489) = ( 12484 × 12489) / 1
LCM(12484,12489) = 155912676 / 1
LCM(12484,12489) = 155912676

Least Common Multiple (LCM) of 12484 and 12489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12484 and 12489. First we will calculate the prime factors of 12484 and 12489.

Prime Factorization of 12484

Prime factors of 12484 are 2, 3121. Prime factorization of 12484 in exponential form is:

12484 = 22 × 31211

Prime Factorization of 12489

Prime factors of 12489 are 3, 23, 181. Prime factorization of 12489 in exponential form is:

12489 = 31 × 231 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 12484 and 12489.

LCM(12484,12489) = 22 × 31211 × 31 × 231 × 1811
LCM(12484,12489) = 155912676