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What is the Least Common Multiple of 86083 and 86090?

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 86083 and 86090 is 7410885470.

LCM(86083,86090) = 7410885470

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Least Common Multiple of 86083 and 86090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86083 and 86090, than apply into the LCM equation.

GCF(86083,86090) = 1
LCM(86083,86090) = ( 86083 × 86090) / 1
LCM(86083,86090) = 7410885470 / 1
LCM(86083,86090) = 7410885470

Least Common Multiple (LCM) of 86083 and 86090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86083 and 86090. First we will calculate the prime factors of 86083 and 86090.

Prime Factorization of 86083

Prime factors of 86083 are 86083. Prime factorization of 86083 in exponential form is:

86083 = 860831

Prime Factorization of 86090

Prime factors of 86090 are 2, 5, 8609. Prime factorization of 86090 in exponential form is:

86090 = 21 × 51 × 86091

Now multiplying the highest exponent prime factors to calculate the LCM of 86083 and 86090.

LCM(86083,86090) = 860831 × 21 × 51 × 86091
LCM(86083,86090) = 7410885470