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What is the Least Common Multiple of 76481 and 76486?

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 76481 and 76486 is 5849725766.

LCM(76481,76486) = 5849725766

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Least Common Multiple of 76481 and 76486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76481 and 76486, than apply into the LCM equation.

GCF(76481,76486) = 1
LCM(76481,76486) = ( 76481 × 76486) / 1
LCM(76481,76486) = 5849725766 / 1
LCM(76481,76486) = 5849725766

Least Common Multiple (LCM) of 76481 and 76486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76481 and 76486. First we will calculate the prime factors of 76481 and 76486.

Prime Factorization of 76481

Prime factors of 76481 are 76481. Prime factorization of 76481 in exponential form is:

76481 = 764811

Prime Factorization of 76486

Prime factors of 76486 are 2, 167, 229. Prime factorization of 76486 in exponential form is:

76486 = 21 × 1671 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 76481 and 76486.

LCM(76481,76486) = 764811 × 21 × 1671 × 2291
LCM(76481,76486) = 5849725766