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What is the Least Common Multiple of 6340 and 6360?

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 6340 and 6360 is 2016120.

LCM(6340,6360) = 2016120

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Least Common Multiple of 6340 and 6360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6340 and 6360, than apply into the LCM equation.

GCF(6340,6360) = 20
LCM(6340,6360) = ( 6340 × 6360) / 20
LCM(6340,6360) = 40322400 / 20
LCM(6340,6360) = 2016120

Least Common Multiple (LCM) of 6340 and 6360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6340 and 6360. First we will calculate the prime factors of 6340 and 6360.

Prime Factorization of 6340

Prime factors of 6340 are 2, 5, 317. Prime factorization of 6340 in exponential form is:

6340 = 22 × 51 × 3171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6340 and 6360.

LCM(6340,6360) = 23 × 51 × 3171 × 31 × 531
LCM(6340,6360) = 2016120