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What is the Least Common Multiple of 81631 and 81638?

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 81631 and 81638 is 6664191578.

LCM(81631,81638) = 6664191578

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Least Common Multiple of 81631 and 81638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81631 and 81638, than apply into the LCM equation.

GCF(81631,81638) = 1
LCM(81631,81638) = ( 81631 × 81638) / 1
LCM(81631,81638) = 6664191578 / 1
LCM(81631,81638) = 6664191578

Least Common Multiple (LCM) of 81631 and 81638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81631 and 81638. First we will calculate the prime factors of 81631 and 81638.

Prime Factorization of 81631

Prime factors of 81631 are 11, 41, 181. Prime factorization of 81631 in exponential form is:

81631 = 111 × 411 × 1811

Prime Factorization of 81638

Prime factors of 81638 are 2, 40819. Prime factorization of 81638 in exponential form is:

81638 = 21 × 408191

Now multiplying the highest exponent prime factors to calculate the LCM of 81631 and 81638.

LCM(81631,81638) = 111 × 411 × 1811 × 21 × 408191
LCM(81631,81638) = 6664191578