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What is the Least Common Multiple of 2389 and 2408?

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 2389 and 2408 is 5752712.

LCM(2389,2408) = 5752712

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Least Common Multiple of 2389 and 2408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2389 and 2408, than apply into the LCM equation.

GCF(2389,2408) = 1
LCM(2389,2408) = ( 2389 × 2408) / 1
LCM(2389,2408) = 5752712 / 1
LCM(2389,2408) = 5752712

Least Common Multiple (LCM) of 2389 and 2408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2389 and 2408. First we will calculate the prime factors of 2389 and 2408.

Prime Factorization of 2389

Prime factors of 2389 are 2389. Prime factorization of 2389 in exponential form is:

2389 = 23891

Prime Factorization of 2408

Prime factors of 2408 are 2, 7, 43. Prime factorization of 2408 in exponential form is:

2408 = 23 × 71 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 2389 and 2408.

LCM(2389,2408) = 23891 × 23 × 71 × 431
LCM(2389,2408) = 5752712