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What is the Least Common Multiple of 82483 and 82493?

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 82483 and 82493 is 6804270119.

LCM(82483,82493) = 6804270119

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Least Common Multiple of 82483 and 82493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82483 and 82493, than apply into the LCM equation.

GCF(82483,82493) = 1
LCM(82483,82493) = ( 82483 × 82493) / 1
LCM(82483,82493) = 6804270119 / 1
LCM(82483,82493) = 6804270119

Least Common Multiple (LCM) of 82483 and 82493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82483 and 82493. First we will calculate the prime factors of 82483 and 82493.

Prime Factorization of 82483

Prime factors of 82483 are 82483. Prime factorization of 82483 in exponential form is:

82483 = 824831

Prime Factorization of 82493

Prime factors of 82493 are 82493. Prime factorization of 82493 in exponential form is:

82493 = 824931

Now multiplying the highest exponent prime factors to calculate the LCM of 82483 and 82493.

LCM(82483,82493) = 824831 × 824931
LCM(82483,82493) = 6804270119