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What is the Least Common Multiple of 6304 and 6320?

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 6320 is 2490080.

LCM(6304,6320) = 2490080

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Least Common Multiple of 6304 and 6320 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 6320, than apply into the LCM equation.

GCF(6304,6320) = 16
LCM(6304,6320) = ( 6304 × 6320) / 16
LCM(6304,6320) = 39841280 / 16
LCM(6304,6320) = 2490080

Least Common Multiple (LCM) of 6304 and 6320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6304 and 6320. First we will calculate the prime factors of 6304 and 6320.

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 6320

Prime factors of 6320 are 2, 5, 79. Prime factorization of 6320 in exponential form is:

6320 = 24 × 51 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 6304 and 6320.

LCM(6304,6320) = 25 × 1971 × 51 × 791
LCM(6304,6320) = 2490080