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What is the Least Common Multiple of 81385 and 81394?

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 81385 and 81394 is 6624250690.

LCM(81385,81394) = 6624250690

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Least Common Multiple of 81385 and 81394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81385 and 81394, than apply into the LCM equation.

GCF(81385,81394) = 1
LCM(81385,81394) = ( 81385 × 81394) / 1
LCM(81385,81394) = 6624250690 / 1
LCM(81385,81394) = 6624250690

Least Common Multiple (LCM) of 81385 and 81394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81385 and 81394. First we will calculate the prime factors of 81385 and 81394.

Prime Factorization of 81385

Prime factors of 81385 are 5, 41, 397. Prime factorization of 81385 in exponential form is:

81385 = 51 × 411 × 3971

Prime Factorization of 81394

Prime factors of 81394 are 2, 40697. Prime factorization of 81394 in exponential form is:

81394 = 21 × 406971

Now multiplying the highest exponent prime factors to calculate the LCM of 81385 and 81394.

LCM(81385,81394) = 51 × 411 × 3971 × 21 × 406971
LCM(81385,81394) = 6624250690