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What is the Least Common Multiple of 3321 and 3326?

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 3321 and 3326 is 11045646.

LCM(3321,3326) = 11045646

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Least Common Multiple of 3321 and 3326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3321 and 3326, than apply into the LCM equation.

GCF(3321,3326) = 1
LCM(3321,3326) = ( 3321 × 3326) / 1
LCM(3321,3326) = 11045646 / 1
LCM(3321,3326) = 11045646

Least Common Multiple (LCM) of 3321 and 3326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3321 and 3326. First we will calculate the prime factors of 3321 and 3326.

Prime Factorization of 3321

Prime factors of 3321 are 3, 41. Prime factorization of 3321 in exponential form is:

3321 = 34 × 411

Prime Factorization of 3326

Prime factors of 3326 are 2, 1663. Prime factorization of 3326 in exponential form is:

3326 = 21 × 16631

Now multiplying the highest exponent prime factors to calculate the LCM of 3321 and 3326.

LCM(3321,3326) = 34 × 411 × 21 × 16631
LCM(3321,3326) = 11045646