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What is the Least Common Multiple of 86062 and 86082?

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 86062 and 86082 is 3704194542.

LCM(86062,86082) = 3704194542

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Least Common Multiple of 86062 and 86082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86062 and 86082, than apply into the LCM equation.

GCF(86062,86082) = 2
LCM(86062,86082) = ( 86062 × 86082) / 2
LCM(86062,86082) = 7408389084 / 2
LCM(86062,86082) = 3704194542

Least Common Multiple (LCM) of 86062 and 86082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86062 and 86082. First we will calculate the prime factors of 86062 and 86082.

Prime Factorization of 86062

Prime factors of 86062 are 2, 37, 1163. Prime factorization of 86062 in exponential form is:

86062 = 21 × 371 × 11631

Prime Factorization of 86082

Prime factors of 86082 are 2, 3, 14347. Prime factorization of 86082 in exponential form is:

86082 = 21 × 31 × 143471

Now multiplying the highest exponent prime factors to calculate the LCM of 86062 and 86082.

LCM(86062,86082) = 21 × 371 × 11631 × 31 × 143471
LCM(86062,86082) = 3704194542