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What is the Least Common Multiple of 3349 and 3368?

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 3349 and 3368 is 11279432.

LCM(3349,3368) = 11279432

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Least Common Multiple of 3349 and 3368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3349 and 3368, than apply into the LCM equation.

GCF(3349,3368) = 1
LCM(3349,3368) = ( 3349 × 3368) / 1
LCM(3349,3368) = 11279432 / 1
LCM(3349,3368) = 11279432

Least Common Multiple (LCM) of 3349 and 3368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3349 and 3368. First we will calculate the prime factors of 3349 and 3368.

Prime Factorization of 3349

Prime factors of 3349 are 17, 197. Prime factorization of 3349 in exponential form is:

3349 = 171 × 1971

Prime Factorization of 3368

Prime factors of 3368 are 2, 421. Prime factorization of 3368 in exponential form is:

3368 = 23 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 3349 and 3368.

LCM(3349,3368) = 171 × 1971 × 23 × 4211
LCM(3349,3368) = 11279432