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What is the Least Common Multiple of 3327 and 3331?

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 3327 and 3331 is 11082237.

LCM(3327,3331) = 11082237

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Least Common Multiple of 3327 and 3331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3327 and 3331, than apply into the LCM equation.

GCF(3327,3331) = 1
LCM(3327,3331) = ( 3327 × 3331) / 1
LCM(3327,3331) = 11082237 / 1
LCM(3327,3331) = 11082237

Least Common Multiple (LCM) of 3327 and 3331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3327 and 3331. First we will calculate the prime factors of 3327 and 3331.

Prime Factorization of 3327

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

3327 = 31 × 11091

Prime Factorization of 3331

Prime factors of 3331 are 3331. Prime factorization of 3331 in exponential form is:

3331 = 33311

Now multiplying the highest exponent prime factors to calculate the LCM of 3327 and 3331.

LCM(3327,3331) = 31 × 11091 × 33311
LCM(3327,3331) = 11082237