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What is the Least Common Multiple of 86413 and 86423?

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 86413 and 86423 is 7468070699.

LCM(86413,86423) = 7468070699

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Least Common Multiple of 86413 and 86423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86413 and 86423, than apply into the LCM equation.

GCF(86413,86423) = 1
LCM(86413,86423) = ( 86413 × 86423) / 1
LCM(86413,86423) = 7468070699 / 1
LCM(86413,86423) = 7468070699

Least Common Multiple (LCM) of 86413 and 86423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86413 and 86423. First we will calculate the prime factors of 86413 and 86423.

Prime Factorization of 86413

Prime factors of 86413 are 86413. Prime factorization of 86413 in exponential form is:

86413 = 864131

Prime Factorization of 86423

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

86423 = 864231

Now multiplying the highest exponent prime factors to calculate the LCM of 86413 and 86423.

LCM(86413,86423) = 864131 × 864231
LCM(86413,86423) = 7468070699