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What is the Least Common Multiple of 3268 and 3279?

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 3268 and 3279 is 10715772.

LCM(3268,3279) = 10715772

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Least Common Multiple of 3268 and 3279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3268 and 3279, than apply into the LCM equation.

GCF(3268,3279) = 1
LCM(3268,3279) = ( 3268 × 3279) / 1
LCM(3268,3279) = 10715772 / 1
LCM(3268,3279) = 10715772

Least Common Multiple (LCM) of 3268 and 3279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3268 and 3279. First we will calculate the prime factors of 3268 and 3279.

Prime Factorization of 3268

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

3268 = 22 × 191 × 431

Prime Factorization of 3279

Prime factors of 3279 are 3, 1093. Prime factorization of 3279 in exponential form is:

3279 = 31 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 3268 and 3279.

LCM(3268,3279) = 22 × 191 × 431 × 31 × 10931
LCM(3268,3279) = 10715772