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What is the Least Common Multiple of 8355 and 8359?

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 8355 and 8359 is 69839445.

LCM(8355,8359) = 69839445

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Least Common Multiple of 8355 and 8359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8355 and 8359, than apply into the LCM equation.

GCF(8355,8359) = 1
LCM(8355,8359) = ( 8355 × 8359) / 1
LCM(8355,8359) = 69839445 / 1
LCM(8355,8359) = 69839445

Least Common Multiple (LCM) of 8355 and 8359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8355 and 8359. First we will calculate the prime factors of 8355 and 8359.

Prime Factorization of 8355

Prime factors of 8355 are 3, 5, 557. Prime factorization of 8355 in exponential form is:

8355 = 31 × 51 × 5571

Prime Factorization of 8359

Prime factors of 8359 are 13, 643. Prime factorization of 8359 in exponential form is:

8359 = 131 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 8355 and 8359.

LCM(8355,8359) = 31 × 51 × 5571 × 131 × 6431
LCM(8355,8359) = 69839445