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What is the Least Common Multiple of 6344 and 6356?

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 6344 and 6356 is 10080616.

LCM(6344,6356) = 10080616

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Least Common Multiple of 6344 and 6356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6344 and 6356, than apply into the LCM equation.

GCF(6344,6356) = 4
LCM(6344,6356) = ( 6344 × 6356) / 4
LCM(6344,6356) = 40322464 / 4
LCM(6344,6356) = 10080616

Least Common Multiple (LCM) of 6344 and 6356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6344 and 6356. First we will calculate the prime factors of 6344 and 6356.

Prime Factorization of 6344

Prime factors of 6344 are 2, 13, 61. Prime factorization of 6344 in exponential form is:

6344 = 23 × 131 × 611

Prime Factorization of 6356

Prime factors of 6356 are 2, 7, 227. Prime factorization of 6356 in exponential form is:

6356 = 22 × 71 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 6344 and 6356.

LCM(6344,6356) = 23 × 131 × 611 × 71 × 2271
LCM(6344,6356) = 10080616