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What is the Least Common Multiple of 6082 and 6093?

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 6082 and 6093 is 37057626.

LCM(6082,6093) = 37057626

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Least Common Multiple of 6082 and 6093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6082 and 6093, than apply into the LCM equation.

GCF(6082,6093) = 1
LCM(6082,6093) = ( 6082 × 6093) / 1
LCM(6082,6093) = 37057626 / 1
LCM(6082,6093) = 37057626

Least Common Multiple (LCM) of 6082 and 6093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6082 and 6093. First we will calculate the prime factors of 6082 and 6093.

Prime Factorization of 6082

Prime factors of 6082 are 2, 3041. Prime factorization of 6082 in exponential form is:

6082 = 21 × 30411

Prime Factorization of 6093

Prime factors of 6093 are 3, 677. Prime factorization of 6093 in exponential form is:

6093 = 32 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 6082 and 6093.

LCM(6082,6093) = 21 × 30411 × 32 × 6771
LCM(6082,6093) = 37057626