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What is the Least Common Multiple of 81469 and 81486?

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 81469 and 81486 is 6638582934.

LCM(81469,81486) = 6638582934

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Least Common Multiple of 81469 and 81486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81469 and 81486, than apply into the LCM equation.

GCF(81469,81486) = 1
LCM(81469,81486) = ( 81469 × 81486) / 1
LCM(81469,81486) = 6638582934 / 1
LCM(81469,81486) = 6638582934

Least Common Multiple (LCM) of 81469 and 81486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81469 and 81486. First we will calculate the prime factors of 81469 and 81486.

Prime Factorization of 81469

Prime factors of 81469 are 257, 317. Prime factorization of 81469 in exponential form is:

81469 = 2571 × 3171

Prime Factorization of 81486

Prime factors of 81486 are 2, 3, 503. Prime factorization of 81486 in exponential form is:

81486 = 21 × 34 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 81469 and 81486.

LCM(81469,81486) = 2571 × 3171 × 21 × 34 × 5031
LCM(81469,81486) = 6638582934