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What is the Least Common Multiple of 8336 and 8355?

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 8336 and 8355 is 69647280.

LCM(8336,8355) = 69647280

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Least Common Multiple of 8336 and 8355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8336 and 8355, than apply into the LCM equation.

GCF(8336,8355) = 1
LCM(8336,8355) = ( 8336 × 8355) / 1
LCM(8336,8355) = 69647280 / 1
LCM(8336,8355) = 69647280

Least Common Multiple (LCM) of 8336 and 8355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8336 and 8355. First we will calculate the prime factors of 8336 and 8355.

Prime Factorization of 8336

Prime factors of 8336 are 2, 521. Prime factorization of 8336 in exponential form is:

8336 = 24 × 5211

Prime Factorization of 8355

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

8355 = 31 × 51 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 8336 and 8355.

LCM(8336,8355) = 24 × 5211 × 31 × 51 × 5571
LCM(8336,8355) = 69647280