GCF and LCM Calculator Logo

What is the Least Common Multiple of 6291 and 6302?

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 6291 and 6302 is 39645882.

LCM(6291,6302) = 39645882

LCM Calculator and
and

Least Common Multiple of 6291 and 6302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6291 and 6302, than apply into the LCM equation.

GCF(6291,6302) = 1
LCM(6291,6302) = ( 6291 × 6302) / 1
LCM(6291,6302) = 39645882 / 1
LCM(6291,6302) = 39645882

Least Common Multiple (LCM) of 6291 and 6302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6291 and 6302. First we will calculate the prime factors of 6291 and 6302.

Prime Factorization of 6291

Prime factors of 6291 are 3, 233. Prime factorization of 6291 in exponential form is:

6291 = 33 × 2331

Prime Factorization of 6302

Prime factors of 6302 are 2, 23, 137. Prime factorization of 6302 in exponential form is:

6302 = 21 × 231 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 6291 and 6302.

LCM(6291,6302) = 33 × 2331 × 21 × 231 × 1371
LCM(6291,6302) = 39645882