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What is the Least Common Multiple of 81381 and 81385?

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 81381 and 81385 is 6623192685.

LCM(81381,81385) = 6623192685

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Least Common Multiple of 81381 and 81385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81381 and 81385, than apply into the LCM equation.

GCF(81381,81385) = 1
LCM(81381,81385) = ( 81381 × 81385) / 1
LCM(81381,81385) = 6623192685 / 1
LCM(81381,81385) = 6623192685

Least Common Multiple (LCM) of 81381 and 81385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81381 and 81385. First we will calculate the prime factors of 81381 and 81385.

Prime Factorization of 81381

Prime factors of 81381 are 3, 27127. Prime factorization of 81381 in exponential form is:

81381 = 31 × 271271

Prime Factorization of 81385

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

81385 = 51 × 411 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 81381 and 81385.

LCM(81381,81385) = 31 × 271271 × 51 × 411 × 3971
LCM(81381,81385) = 6623192685