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What is the Least Common Multiple of 6346 and 6357?

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 6346 and 6357 is 40341522.

LCM(6346,6357) = 40341522

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Least Common Multiple of 6346 and 6357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6346 and 6357, than apply into the LCM equation.

GCF(6346,6357) = 1
LCM(6346,6357) = ( 6346 × 6357) / 1
LCM(6346,6357) = 40341522 / 1
LCM(6346,6357) = 40341522

Least Common Multiple (LCM) of 6346 and 6357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6346 and 6357. First we will calculate the prime factors of 6346 and 6357.

Prime Factorization of 6346

Prime factors of 6346 are 2, 19, 167. Prime factorization of 6346 in exponential form is:

6346 = 21 × 191 × 1671

Prime Factorization of 6357

Prime factors of 6357 are 3, 13, 163. Prime factorization of 6357 in exponential form is:

6357 = 31 × 131 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 6346 and 6357.

LCM(6346,6357) = 21 × 191 × 1671 × 31 × 131 × 1631
LCM(6346,6357) = 40341522