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What is the Least Common Multiple of 3392 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 3392 and 3398 is 5763008.

LCM(3392,3398) = 5763008

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Least Common Multiple of 3392 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 3392 and 3398, than apply into the LCM equation.

GCF(3392,3398) = 2
LCM(3392,3398) = ( 3392 × 3398) / 2
LCM(3392,3398) = 11526016 / 2
LCM(3392,3398) = 5763008

Least Common Multiple (LCM) of 3392 and 3398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3392 and 3398. First we will calculate the prime factors of 3392 and 3398.

Prime Factorization of 3392

Prime factors of 3392 are 2, 53. Prime factorization of 3392 in exponential form is:

3392 = 26 × 531

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 3392 and 3398.

LCM(3392,3398) = 26 × 531 × 16991
LCM(3392,3398) = 5763008