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What is the Least Common Multiple of 3282 and 3296?

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 3282 and 3296 is 5408736.

LCM(3282,3296) = 5408736

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Least Common Multiple of 3282 and 3296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3282 and 3296, than apply into the LCM equation.

GCF(3282,3296) = 2
LCM(3282,3296) = ( 3282 × 3296) / 2
LCM(3282,3296) = 10817472 / 2
LCM(3282,3296) = 5408736

Least Common Multiple (LCM) of 3282 and 3296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3282 and 3296. First we will calculate the prime factors of 3282 and 3296.

Prime Factorization of 3282

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

3282 = 21 × 31 × 5471

Prime Factorization of 3296

Prime factors of 3296 are 2, 103. Prime factorization of 3296 in exponential form is:

3296 = 25 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 3282 and 3296.

LCM(3282,3296) = 25 × 31 × 5471 × 1031
LCM(3282,3296) = 5408736