GCF and LCM Calculator Logo

What is the Least Common Multiple of 12476 and 12482?

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 12476 and 12482 is 77862716.

LCM(12476,12482) = 77862716

LCM Calculator and
and

Least Common Multiple of 12476 and 12482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12476 and 12482, than apply into the LCM equation.

GCF(12476,12482) = 2
LCM(12476,12482) = ( 12476 × 12482) / 2
LCM(12476,12482) = 155725432 / 2
LCM(12476,12482) = 77862716

Least Common Multiple (LCM) of 12476 and 12482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12476 and 12482. First we will calculate the prime factors of 12476 and 12482.

Prime Factorization of 12476

Prime factors of 12476 are 2, 3119. Prime factorization of 12476 in exponential form is:

12476 = 22 × 31191

Prime Factorization of 12482

Prime factors of 12482 are 2, 79. Prime factorization of 12482 in exponential form is:

12482 = 21 × 792

Now multiplying the highest exponent prime factors to calculate the LCM of 12476 and 12482.

LCM(12476,12482) = 22 × 31191 × 792
LCM(12476,12482) = 77862716