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What is the Least Common Multiple of 3307 and 3327?

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 3307 and 3327 is 11002389.

LCM(3307,3327) = 11002389

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Least Common Multiple of 3307 and 3327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3307 and 3327, than apply into the LCM equation.

GCF(3307,3327) = 1
LCM(3307,3327) = ( 3307 × 3327) / 1
LCM(3307,3327) = 11002389 / 1
LCM(3307,3327) = 11002389

Least Common Multiple (LCM) of 3307 and 3327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3307 and 3327. First we will calculate the prime factors of 3307 and 3327.

Prime Factorization of 3307

Prime factors of 3307 are 3307. Prime factorization of 3307 in exponential form is:

3307 = 33071

Prime Factorization of 3327

Prime factors of 3327 are 3, 1109. Prime factorization of 3327 in exponential form is:

3327 = 31 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 3307 and 3327.

LCM(3307,3327) = 33071 × 31 × 11091
LCM(3307,3327) = 11002389