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What is the Least Common Multiple of 3256 and 3268?

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 3256 and 3268 is 2660152.

LCM(3256,3268) = 2660152

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Least Common Multiple of 3256 and 3268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3256 and 3268, than apply into the LCM equation.

GCF(3256,3268) = 4
LCM(3256,3268) = ( 3256 × 3268) / 4
LCM(3256,3268) = 10640608 / 4
LCM(3256,3268) = 2660152

Least Common Multiple (LCM) of 3256 and 3268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3256 and 3268. First we will calculate the prime factors of 3256 and 3268.

Prime Factorization of 3256

Prime factors of 3256 are 2, 11, 37. Prime factorization of 3256 in exponential form is:

3256 = 23 × 111 × 371

Prime Factorization of 3268

Prime factors of 3268 are 2, 19, 43. Prime factorization of 3268 in exponential form is:

3268 = 22 × 191 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 3256 and 3268.

LCM(3256,3268) = 23 × 111 × 371 × 191 × 431
LCM(3256,3268) = 2660152