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What is the Least Common Multiple of 8306 and 8319?

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 8306 and 8319 is 69097614.

LCM(8306,8319) = 69097614

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Least Common Multiple of 8306 and 8319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8306 and 8319, than apply into the LCM equation.

GCF(8306,8319) = 1
LCM(8306,8319) = ( 8306 × 8319) / 1
LCM(8306,8319) = 69097614 / 1
LCM(8306,8319) = 69097614

Least Common Multiple (LCM) of 8306 and 8319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8306 and 8319. First we will calculate the prime factors of 8306 and 8319.

Prime Factorization of 8306

Prime factors of 8306 are 2, 4153. Prime factorization of 8306 in exponential form is:

8306 = 21 × 41531

Prime Factorization of 8319

Prime factors of 8319 are 3, 47, 59. Prime factorization of 8319 in exponential form is:

8319 = 31 × 471 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 8306 and 8319.

LCM(8306,8319) = 21 × 41531 × 31 × 471 × 591
LCM(8306,8319) = 69097614