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What is the Least Common Multiple of 3385 and 3403?

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 3385 and 3403 is 11519155.

LCM(3385,3403) = 11519155

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Least Common Multiple of 3385 and 3403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3385 and 3403, than apply into the LCM equation.

GCF(3385,3403) = 1
LCM(3385,3403) = ( 3385 × 3403) / 1
LCM(3385,3403) = 11519155 / 1
LCM(3385,3403) = 11519155

Least Common Multiple (LCM) of 3385 and 3403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3385 and 3403. First we will calculate the prime factors of 3385 and 3403.

Prime Factorization of 3385

Prime factors of 3385 are 5, 677. Prime factorization of 3385 in exponential form is:

3385 = 51 × 6771

Prime Factorization of 3403

Prime factors of 3403 are 41, 83. Prime factorization of 3403 in exponential form is:

3403 = 411 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 3385 and 3403.

LCM(3385,3403) = 51 × 6771 × 411 × 831
LCM(3385,3403) = 11519155