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What is the Least Common Multiple of 81128 and 81145?

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 81128 and 81145 is 6583131560.

LCM(81128,81145) = 6583131560

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Least Common Multiple of 81128 and 81145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81128 and 81145, than apply into the LCM equation.

GCF(81128,81145) = 1
LCM(81128,81145) = ( 81128 × 81145) / 1
LCM(81128,81145) = 6583131560 / 1
LCM(81128,81145) = 6583131560

Least Common Multiple (LCM) of 81128 and 81145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81128 and 81145. First we will calculate the prime factors of 81128 and 81145.

Prime Factorization of 81128

Prime factors of 81128 are 2, 10141. Prime factorization of 81128 in exponential form is:

81128 = 23 × 101411

Prime Factorization of 81145

Prime factors of 81145 are 5, 16229. Prime factorization of 81145 in exponential form is:

81145 = 51 × 162291

Now multiplying the highest exponent prime factors to calculate the LCM of 81128 and 81145.

LCM(81128,81145) = 23 × 101411 × 51 × 162291
LCM(81128,81145) = 6583131560