GCF and LCM Calculator Logo

What is the Least Common Multiple of 6311 and 6316?

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 6311 and 6316 is 39860276.

LCM(6311,6316) = 39860276

LCM Calculator and
and

Least Common Multiple of 6311 and 6316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6311 and 6316, than apply into the LCM equation.

GCF(6311,6316) = 1
LCM(6311,6316) = ( 6311 × 6316) / 1
LCM(6311,6316) = 39860276 / 1
LCM(6311,6316) = 39860276

Least Common Multiple (LCM) of 6311 and 6316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6311 and 6316. First we will calculate the prime factors of 6311 and 6316.

Prime Factorization of 6311

Prime factors of 6311 are 6311. Prime factorization of 6311 in exponential form is:

6311 = 63111

Prime Factorization of 6316

Prime factors of 6316 are 2, 1579. Prime factorization of 6316 in exponential form is:

6316 = 22 × 15791

Now multiplying the highest exponent prime factors to calculate the LCM of 6311 and 6316.

LCM(6311,6316) = 63111 × 22 × 15791
LCM(6311,6316) = 39860276