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What is the Least Common Multiple of 3271 and 3287?

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 3287 is 10751777.

LCM(3271,3287) = 10751777

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Least Common Multiple of 3271 and 3287 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 3287, than apply into the LCM equation.

GCF(3271,3287) = 1
LCM(3271,3287) = ( 3271 × 3287) / 1
LCM(3271,3287) = 10751777 / 1
LCM(3271,3287) = 10751777

Least Common Multiple (LCM) of 3271 and 3287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3271 and 3287. First we will calculate the prime factors of 3271 and 3287.

Prime Factorization of 3271

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

3271 = 32711

Prime Factorization of 3287

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

3287 = 191 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 3271 and 3287.

LCM(3271,3287) = 32711 × 191 × 1731
LCM(3271,3287) = 10751777