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What is the Least Common Multiple of 6304 and 6316?

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 6304 and 6316 is 9954016.

LCM(6304,6316) = 9954016

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Least Common Multiple of 6304 and 6316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6304 and 6316, than apply into the LCM equation.

GCF(6304,6316) = 4
LCM(6304,6316) = ( 6304 × 6316) / 4
LCM(6304,6316) = 39816064 / 4
LCM(6304,6316) = 9954016

Least Common Multiple (LCM) of 6304 and 6316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6304 and 6316. First we will calculate the prime factors of 6304 and 6316.

Prime Factorization of 6304

Prime factors of 6304 are 2, 197. Prime factorization of 6304 in exponential form is:

6304 = 25 × 1971

Prime Factorization of 6316

Prime factors of 6316 are 2, 1579. Prime factorization of 6316 in exponential form is:

6316 = 22 × 15791

Now multiplying the highest exponent prime factors to calculate the LCM of 6304 and 6316.

LCM(6304,6316) = 25 × 1971 × 15791
LCM(6304,6316) = 9954016