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What is the Least Common Multiple of 8385 and 8399?

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 8385 and 8399 is 70425615.

LCM(8385,8399) = 70425615

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Least Common Multiple of 8385 and 8399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8385 and 8399, than apply into the LCM equation.

GCF(8385,8399) = 1
LCM(8385,8399) = ( 8385 × 8399) / 1
LCM(8385,8399) = 70425615 / 1
LCM(8385,8399) = 70425615

Least Common Multiple (LCM) of 8385 and 8399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8385 and 8399. First we will calculate the prime factors of 8385 and 8399.

Prime Factorization of 8385

Prime factors of 8385 are 3, 5, 13, 43. Prime factorization of 8385 in exponential form is:

8385 = 31 × 51 × 131 × 431

Prime Factorization of 8399

Prime factors of 8399 are 37, 227. Prime factorization of 8399 in exponential form is:

8399 = 371 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 8385 and 8399.

LCM(8385,8399) = 31 × 51 × 131 × 431 × 371 × 2271
LCM(8385,8399) = 70425615