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What is the Least Common Multiple of 3378 and 3389?

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 3378 and 3389 is 11448042.

LCM(3378,3389) = 11448042

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Least Common Multiple of 3378 and 3389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3378 and 3389, than apply into the LCM equation.

GCF(3378,3389) = 1
LCM(3378,3389) = ( 3378 × 3389) / 1
LCM(3378,3389) = 11448042 / 1
LCM(3378,3389) = 11448042

Least Common Multiple (LCM) of 3378 and 3389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3378 and 3389. First we will calculate the prime factors of 3378 and 3389.

Prime Factorization of 3378

Prime factors of 3378 are 2, 3, 563. Prime factorization of 3378 in exponential form is:

3378 = 21 × 31 × 5631

Prime Factorization of 3389

Prime factors of 3389 are 3389. Prime factorization of 3389 in exponential form is:

3389 = 33891

Now multiplying the highest exponent prime factors to calculate the LCM of 3378 and 3389.

LCM(3378,3389) = 21 × 31 × 5631 × 33891
LCM(3378,3389) = 11448042