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What is the Least Common Multiple of 6340 and 6355?

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 6355 is 8058140.

LCM(6340,6355) = 8058140

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Least Common Multiple of 6340 and 6355 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 6355, than apply into the LCM equation.

GCF(6340,6355) = 5
LCM(6340,6355) = ( 6340 × 6355) / 5
LCM(6340,6355) = 40290700 / 5
LCM(6340,6355) = 8058140

Least Common Multiple (LCM) of 6340 and 6355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6340 and 6355. First we will calculate the prime factors of 6340 and 6355.

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 6355

Prime factors of 6355 are 5, 31, 41. Prime factorization of 6355 in exponential form is:

6355 = 51 × 311 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 6340 and 6355.

LCM(6340,6355) = 22 × 51 × 3171 × 311 × 411
LCM(6340,6355) = 8058140