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What is the Least Common Multiple of 81087 and 81098?

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 81087 and 81098 is 6575993526.

LCM(81087,81098) = 6575993526

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Least Common Multiple of 81087 and 81098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81087 and 81098, than apply into the LCM equation.

GCF(81087,81098) = 1
LCM(81087,81098) = ( 81087 × 81098) / 1
LCM(81087,81098) = 6575993526 / 1
LCM(81087,81098) = 6575993526

Least Common Multiple (LCM) of 81087 and 81098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81087 and 81098. First we will calculate the prime factors of 81087 and 81098.

Prime Factorization of 81087

Prime factors of 81087 are 3, 151, 179. Prime factorization of 81087 in exponential form is:

81087 = 31 × 1511 × 1791

Prime Factorization of 81098

Prime factors of 81098 are 2, 23, 41, 43. Prime factorization of 81098 in exponential form is:

81098 = 21 × 231 × 411 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 81087 and 81098.

LCM(81087,81098) = 31 × 1511 × 1791 × 21 × 231 × 411 × 431
LCM(81087,81098) = 6575993526