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What is the Least Common Multiple of 6357 and 6361?

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 6357 and 6361 is 40436877.

LCM(6357,6361) = 40436877

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Least Common Multiple of 6357 and 6361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6357 and 6361, than apply into the LCM equation.

GCF(6357,6361) = 1
LCM(6357,6361) = ( 6357 × 6361) / 1
LCM(6357,6361) = 40436877 / 1
LCM(6357,6361) = 40436877

Least Common Multiple (LCM) of 6357 and 6361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6357 and 6361. First we will calculate the prime factors of 6357 and 6361.

Prime Factorization of 6357

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

6357 = 31 × 131 × 1631

Prime Factorization of 6361

Prime factors of 6361 are 6361. Prime factorization of 6361 in exponential form is:

6361 = 63611

Now multiplying the highest exponent prime factors to calculate the LCM of 6357 and 6361.

LCM(6357,6361) = 31 × 131 × 1631 × 63611
LCM(6357,6361) = 40436877