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What is the Least Common Multiple of 82481 and 82486?

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 82481 and 82486 is 6803527766.

LCM(82481,82486) = 6803527766

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Least Common Multiple of 82481 and 82486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82481 and 82486, than apply into the LCM equation.

GCF(82481,82486) = 1
LCM(82481,82486) = ( 82481 × 82486) / 1
LCM(82481,82486) = 6803527766 / 1
LCM(82481,82486) = 6803527766

Least Common Multiple (LCM) of 82481 and 82486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82481 and 82486. First we will calculate the prime factors of 82481 and 82486.

Prime Factorization of 82481

Prime factors of 82481 are 7, 11783. Prime factorization of 82481 in exponential form is:

82481 = 71 × 117831

Prime Factorization of 82486

Prime factors of 82486 are 2, 41243. Prime factorization of 82486 in exponential form is:

82486 = 21 × 412431

Now multiplying the highest exponent prime factors to calculate the LCM of 82481 and 82486.

LCM(82481,82486) = 71 × 117831 × 21 × 412431
LCM(82481,82486) = 6803527766