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What is the Least Common Multiple of 6348 and 6364?

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 6348 and 6364 is 10099668.

LCM(6348,6364) = 10099668

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Least Common Multiple of 6348 and 6364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6348 and 6364, than apply into the LCM equation.

GCF(6348,6364) = 4
LCM(6348,6364) = ( 6348 × 6364) / 4
LCM(6348,6364) = 40398672 / 4
LCM(6348,6364) = 10099668

Least Common Multiple (LCM) of 6348 and 6364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6348 and 6364. First we will calculate the prime factors of 6348 and 6364.

Prime Factorization of 6348

Prime factors of 6348 are 2, 3, 23. Prime factorization of 6348 in exponential form is:

6348 = 22 × 31 × 232

Prime Factorization of 6364

Prime factors of 6364 are 2, 37, 43. Prime factorization of 6364 in exponential form is:

6364 = 22 × 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 6348 and 6364.

LCM(6348,6364) = 22 × 31 × 232 × 371 × 431
LCM(6348,6364) = 10099668