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What is the Least Common Multiple of 3281 and 3291?

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 3281 and 3291 is 10797771.

LCM(3281,3291) = 10797771

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Least Common Multiple of 3281 and 3291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3281 and 3291, than apply into the LCM equation.

GCF(3281,3291) = 1
LCM(3281,3291) = ( 3281 × 3291) / 1
LCM(3281,3291) = 10797771 / 1
LCM(3281,3291) = 10797771

Least Common Multiple (LCM) of 3281 and 3291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3281 and 3291. First we will calculate the prime factors of 3281 and 3291.

Prime Factorization of 3281

Prime factors of 3281 are 17, 193. Prime factorization of 3281 in exponential form is:

3281 = 171 × 1931

Prime Factorization of 3291

Prime factors of 3291 are 3, 1097. Prime factorization of 3291 in exponential form is:

3291 = 31 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 3281 and 3291.

LCM(3281,3291) = 171 × 1931 × 31 × 10971
LCM(3281,3291) = 10797771