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What is the Least Common Multiple of 6358 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 6358 and 6376 is 20269304.

LCM(6358,6376) = 20269304

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Least Common Multiple of 6358 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 6358 and 6376, than apply into the LCM equation.

GCF(6358,6376) = 2
LCM(6358,6376) = ( 6358 × 6376) / 2
LCM(6358,6376) = 40538608 / 2
LCM(6358,6376) = 20269304

Least Common Multiple (LCM) of 6358 and 6376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6358 and 6376. First we will calculate the prime factors of 6358 and 6376.

Prime Factorization of 6358

Prime factors of 6358 are 2, 11, 17. Prime factorization of 6358 in exponential form is:

6358 = 21 × 111 × 172

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 6358 and 6376.

LCM(6358,6376) = 23 × 111 × 172 × 7971
LCM(6358,6376) = 20269304