GCF and LCM Calculator Logo

What is the Least Common Multiple of 31282 and 31299?

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 31282 and 31299 is 979095318.

LCM(31282,31299) = 979095318

LCM Calculator and
and

Least Common Multiple of 31282 and 31299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31282 and 31299, than apply into the LCM equation.

GCF(31282,31299) = 1
LCM(31282,31299) = ( 31282 × 31299) / 1
LCM(31282,31299) = 979095318 / 1
LCM(31282,31299) = 979095318

Least Common Multiple (LCM) of 31282 and 31299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31282 and 31299. First we will calculate the prime factors of 31282 and 31299.

Prime Factorization of 31282

Prime factors of 31282 are 2, 15641. Prime factorization of 31282 in exponential form is:

31282 = 21 × 156411

Prime Factorization of 31299

Prime factors of 31299 are 3, 10433. Prime factorization of 31299 in exponential form is:

31299 = 31 × 104331

Now multiplying the highest exponent prime factors to calculate the LCM of 31282 and 31299.

LCM(31282,31299) = 21 × 156411 × 31 × 104331
LCM(31282,31299) = 979095318