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What is the Least Common Multiple of 3276 and 3284?

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 3276 and 3284 is 2689596.

LCM(3276,3284) = 2689596

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Least Common Multiple of 3276 and 3284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3276 and 3284, than apply into the LCM equation.

GCF(3276,3284) = 4
LCM(3276,3284) = ( 3276 × 3284) / 4
LCM(3276,3284) = 10758384 / 4
LCM(3276,3284) = 2689596

Least Common Multiple (LCM) of 3276 and 3284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3276 and 3284. First we will calculate the prime factors of 3276 and 3284.

Prime Factorization of 3276

Prime factors of 3276 are 2, 3, 7, 13. Prime factorization of 3276 in exponential form is:

3276 = 22 × 32 × 71 × 131

Prime Factorization of 3284

Prime factors of 3284 are 2, 821. Prime factorization of 3284 in exponential form is:

3284 = 22 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 3276 and 3284.

LCM(3276,3284) = 22 × 32 × 71 × 131 × 8211
LCM(3276,3284) = 2689596