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What is the Least Common Multiple of 6321 and 6337?

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 6321 and 6337 is 40056177.

LCM(6321,6337) = 40056177

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Least Common Multiple of 6321 and 6337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6321 and 6337, than apply into the LCM equation.

GCF(6321,6337) = 1
LCM(6321,6337) = ( 6321 × 6337) / 1
LCM(6321,6337) = 40056177 / 1
LCM(6321,6337) = 40056177

Least Common Multiple (LCM) of 6321 and 6337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6321 and 6337. First we will calculate the prime factors of 6321 and 6337.

Prime Factorization of 6321

Prime factors of 6321 are 3, 7, 43. Prime factorization of 6321 in exponential form is:

6321 = 31 × 72 × 431

Prime Factorization of 6337

Prime factors of 6337 are 6337. Prime factorization of 6337 in exponential form is:

6337 = 63371

Now multiplying the highest exponent prime factors to calculate the LCM of 6321 and 6337.

LCM(6321,6337) = 31 × 72 × 431 × 63371
LCM(6321,6337) = 40056177