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What is the Least Common Multiple of 3393 and 3398?

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 3393 and 3398 is 11529414.

LCM(3393,3398) = 11529414

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Least Common Multiple of 3393 and 3398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3393 and 3398, than apply into the LCM equation.

GCF(3393,3398) = 1
LCM(3393,3398) = ( 3393 × 3398) / 1
LCM(3393,3398) = 11529414 / 1
LCM(3393,3398) = 11529414

Least Common Multiple (LCM) of 3393 and 3398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3393 and 3398. First we will calculate the prime factors of 3393 and 3398.

Prime Factorization of 3393

Prime factors of 3393 are 3, 13, 29. Prime factorization of 3393 in exponential form is:

3393 = 32 × 131 × 291

Prime Factorization of 3398

Prime factors of 3398 are 2, 1699. Prime factorization of 3398 in exponential form is:

3398 = 21 × 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 3393 and 3398.

LCM(3393,3398) = 32 × 131 × 291 × 21 × 16991
LCM(3393,3398) = 11529414