GCF and LCM Calculator Logo

What is the Least Common Multiple of 6360 and 6364?

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 6360 and 6364 is 10118760.

LCM(6360,6364) = 10118760

LCM Calculator and
and

Least Common Multiple of 6360 and 6364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6360 and 6364, than apply into the LCM equation.

GCF(6360,6364) = 4
LCM(6360,6364) = ( 6360 × 6364) / 4
LCM(6360,6364) = 40475040 / 4
LCM(6360,6364) = 10118760

Least Common Multiple (LCM) of 6360 and 6364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6360 and 6364. First we will calculate the prime factors of 6360 and 6364.

Prime Factorization of 6360

Prime factors of 6360 are 2, 3, 5, 53. Prime factorization of 6360 in exponential form is:

6360 = 23 × 31 × 51 × 531

Prime Factorization of 6364

Prime factors of 6364 are 2, 37, 43. Prime factorization of 6364 in exponential form is:

6364 = 22 × 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 6360 and 6364.

LCM(6360,6364) = 23 × 31 × 51 × 531 × 371 × 431
LCM(6360,6364) = 10118760