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What is the Least Common Multiple of 58481 and 58486?

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 58481 and 58486 is 3420319766.

LCM(58481,58486) = 3420319766

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Least Common Multiple of 58481 and 58486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58481 and 58486, than apply into the LCM equation.

GCF(58481,58486) = 1
LCM(58481,58486) = ( 58481 × 58486) / 1
LCM(58481,58486) = 3420319766 / 1
LCM(58481,58486) = 3420319766

Least Common Multiple (LCM) of 58481 and 58486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58481 and 58486. First we will calculate the prime factors of 58481 and 58486.

Prime Factorization of 58481

Prime factors of 58481 are 58481. Prime factorization of 58481 in exponential form is:

58481 = 584811

Prime Factorization of 58486

Prime factors of 58486 are 2, 29243. Prime factorization of 58486 in exponential form is:

58486 = 21 × 292431

Now multiplying the highest exponent prime factors to calculate the LCM of 58481 and 58486.

LCM(58481,58486) = 584811 × 21 × 292431
LCM(58481,58486) = 3420319766