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What is the Least Common Multiple of 6368 and 6376?

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 6368 and 6376 is 5075296.

LCM(6368,6376) = 5075296

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Least Common Multiple of 6368 and 6376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6368 and 6376, than apply into the LCM equation.

GCF(6368,6376) = 8
LCM(6368,6376) = ( 6368 × 6376) / 8
LCM(6368,6376) = 40602368 / 8
LCM(6368,6376) = 5075296

Least Common Multiple (LCM) of 6368 and 6376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6368 and 6376. First we will calculate the prime factors of 6368 and 6376.

Prime Factorization of 6368

Prime factors of 6368 are 2, 199. Prime factorization of 6368 in exponential form is:

6368 = 25 × 1991

Prime Factorization of 6376

Prime factors of 6376 are 2, 797. Prime factorization of 6376 in exponential form is:

6376 = 23 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 6368 and 6376.

LCM(6368,6376) = 25 × 1991 × 7971
LCM(6368,6376) = 5075296