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What is the Least Common Multiple of 12382 and 12389?

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 12382 and 12389 is 153400598.

LCM(12382,12389) = 153400598

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Least Common Multiple of 12382 and 12389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12382 and 12389, than apply into the LCM equation.

GCF(12382,12389) = 1
LCM(12382,12389) = ( 12382 × 12389) / 1
LCM(12382,12389) = 153400598 / 1
LCM(12382,12389) = 153400598

Least Common Multiple (LCM) of 12382 and 12389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12382 and 12389. First we will calculate the prime factors of 12382 and 12389.

Prime Factorization of 12382

Prime factors of 12382 are 2, 41, 151. Prime factorization of 12382 in exponential form is:

12382 = 21 × 411 × 1511

Prime Factorization of 12389

Prime factors of 12389 are 13, 953. Prime factorization of 12389 in exponential form is:

12389 = 131 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 12382 and 12389.

LCM(12382,12389) = 21 × 411 × 1511 × 131 × 9531
LCM(12382,12389) = 153400598