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What is the Least Common Multiple of 86423 and 86442?

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 86423 and 86442 is 7470576966.

LCM(86423,86442) = 7470576966

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Least Common Multiple of 86423 and 86442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86423 and 86442, than apply into the LCM equation.

GCF(86423,86442) = 1
LCM(86423,86442) = ( 86423 × 86442) / 1
LCM(86423,86442) = 7470576966 / 1
LCM(86423,86442) = 7470576966

Least Common Multiple (LCM) of 86423 and 86442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86423 and 86442. First we will calculate the prime factors of 86423 and 86442.

Prime Factorization of 86423

Prime factors of 86423 are 86423. Prime factorization of 86423 in exponential form is:

86423 = 864231

Prime Factorization of 86442

Prime factors of 86442 are 2, 3, 14407. Prime factorization of 86442 in exponential form is:

86442 = 21 × 31 × 144071

Now multiplying the highest exponent prime factors to calculate the LCM of 86423 and 86442.

LCM(86423,86442) = 864231 × 21 × 31 × 144071
LCM(86423,86442) = 7470576966