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What is the Least Common Multiple of 81087 and 81104?

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 81104 is 6576480048.

LCM(81087,81104) = 6576480048

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Least Common Multiple of 81087 and 81104 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 81104, than apply into the LCM equation.

GCF(81087,81104) = 1
LCM(81087,81104) = ( 81087 × 81104) / 1
LCM(81087,81104) = 6576480048 / 1
LCM(81087,81104) = 6576480048

Least Common Multiple (LCM) of 81087 and 81104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81087 and 81104. First we will calculate the prime factors of 81087 and 81104.

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 81104

Prime factors of 81104 are 2, 37, 137. Prime factorization of 81104 in exponential form is:

81104 = 24 × 371 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 81087 and 81104.

LCM(81087,81104) = 31 × 1511 × 1791 × 24 × 371 × 1371
LCM(81087,81104) = 6576480048