GCF and LCM Calculator Logo

What is the Least Common Multiple of 31287 and 31296?

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 31287 and 31296 is 326385984.

LCM(31287,31296) = 326385984

LCM Calculator and
and

Least Common Multiple of 31287 and 31296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31287 and 31296, than apply into the LCM equation.

GCF(31287,31296) = 3
LCM(31287,31296) = ( 31287 × 31296) / 3
LCM(31287,31296) = 979157952 / 3
LCM(31287,31296) = 326385984

Least Common Multiple (LCM) of 31287 and 31296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31287 and 31296. First we will calculate the prime factors of 31287 and 31296.

Prime Factorization of 31287

Prime factors of 31287 are 3, 10429. Prime factorization of 31287 in exponential form is:

31287 = 31 × 104291

Prime Factorization of 31296

Prime factors of 31296 are 2, 3, 163. Prime factorization of 31296 in exponential form is:

31296 = 26 × 31 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 31287 and 31296.

LCM(31287,31296) = 31 × 104291 × 26 × 1631
LCM(31287,31296) = 326385984