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What is the Least Common Multiple of 3287 and 3303?

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 3287 and 3303 is 10856961.

LCM(3287,3303) = 10856961

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Least Common Multiple of 3287 and 3303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3287 and 3303, than apply into the LCM equation.

GCF(3287,3303) = 1
LCM(3287,3303) = ( 3287 × 3303) / 1
LCM(3287,3303) = 10856961 / 1
LCM(3287,3303) = 10856961

Least Common Multiple (LCM) of 3287 and 3303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3287 and 3303. First we will calculate the prime factors of 3287 and 3303.

Prime Factorization of 3287

Prime factors of 3287 are 19, 173. Prime factorization of 3287 in exponential form is:

3287 = 191 × 1731

Prime Factorization of 3303

Prime factors of 3303 are 3, 367. Prime factorization of 3303 in exponential form is:

3303 = 32 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 3287 and 3303.

LCM(3287,3303) = 191 × 1731 × 32 × 3671
LCM(3287,3303) = 10856961