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What is the Least Common Multiple of 3271 and 3282?

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 3271 and 3282 is 10735422.

LCM(3271,3282) = 10735422

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Least Common Multiple of 3271 and 3282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3271 and 3282, than apply into the LCM equation.

GCF(3271,3282) = 1
LCM(3271,3282) = ( 3271 × 3282) / 1
LCM(3271,3282) = 10735422 / 1
LCM(3271,3282) = 10735422

Least Common Multiple (LCM) of 3271 and 3282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3271 and 3282. First we will calculate the prime factors of 3271 and 3282.

Prime Factorization of 3271

Prime factors of 3271 are 3271. Prime factorization of 3271 in exponential form is:

3271 = 32711

Prime Factorization of 3282

Prime factors of 3282 are 2, 3, 547. Prime factorization of 3282 in exponential form is:

3282 = 21 × 31 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 3271 and 3282.

LCM(3271,3282) = 32711 × 21 × 31 × 5471
LCM(3271,3282) = 10735422