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What is the Least Common Multiple of 81485 and 81495?

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 81485 and 81495 is 1328124015.

LCM(81485,81495) = 1328124015

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Least Common Multiple of 81485 and 81495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81485 and 81495, than apply into the LCM equation.

GCF(81485,81495) = 5
LCM(81485,81495) = ( 81485 × 81495) / 5
LCM(81485,81495) = 6640620075 / 5
LCM(81485,81495) = 1328124015

Least Common Multiple (LCM) of 81485 and 81495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81485 and 81495. First we will calculate the prime factors of 81485 and 81495.

Prime Factorization of 81485

Prime factors of 81485 are 5, 43, 379. Prime factorization of 81485 in exponential form is:

81485 = 51 × 431 × 3791

Prime Factorization of 81495

Prime factors of 81495 are 3, 5, 1811. Prime factorization of 81495 in exponential form is:

81495 = 32 × 51 × 18111

Now multiplying the highest exponent prime factors to calculate the LCM of 81485 and 81495.

LCM(81485,81495) = 51 × 431 × 3791 × 32 × 18111
LCM(81485,81495) = 1328124015