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What is the Least Common Multiple of 3380 and 3387?

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 3380 and 3387 is 11448060.

LCM(3380,3387) = 11448060

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Least Common Multiple of 3380 and 3387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3380 and 3387, than apply into the LCM equation.

GCF(3380,3387) = 1
LCM(3380,3387) = ( 3380 × 3387) / 1
LCM(3380,3387) = 11448060 / 1
LCM(3380,3387) = 11448060

Least Common Multiple (LCM) of 3380 and 3387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3380 and 3387. First we will calculate the prime factors of 3380 and 3387.

Prime Factorization of 3380

Prime factors of 3380 are 2, 5, 13. Prime factorization of 3380 in exponential form is:

3380 = 22 × 51 × 132

Prime Factorization of 3387

Prime factors of 3387 are 3, 1129. Prime factorization of 3387 in exponential form is:

3387 = 31 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 3380 and 3387.

LCM(3380,3387) = 22 × 51 × 132 × 31 × 11291
LCM(3380,3387) = 11448060