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What is the Least Common Multiple of 6315 and 6319?

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 6315 and 6319 is 39904485.

LCM(6315,6319) = 39904485

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Least Common Multiple of 6315 and 6319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6315 and 6319, than apply into the LCM equation.

GCF(6315,6319) = 1
LCM(6315,6319) = ( 6315 × 6319) / 1
LCM(6315,6319) = 39904485 / 1
LCM(6315,6319) = 39904485

Least Common Multiple (LCM) of 6315 and 6319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6315 and 6319. First we will calculate the prime factors of 6315 and 6319.

Prime Factorization of 6315

Prime factors of 6315 are 3, 5, 421. Prime factorization of 6315 in exponential form is:

6315 = 31 × 51 × 4211

Prime Factorization of 6319

Prime factors of 6319 are 71, 89. Prime factorization of 6319 in exponential form is:

6319 = 711 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 6315 and 6319.

LCM(6315,6319) = 31 × 51 × 4211 × 711 × 891
LCM(6315,6319) = 39904485