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What is the Least Common Multiple of 33329 and 33347?

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 33329 and 33347 is 1111422163.

LCM(33329,33347) = 1111422163

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Least Common Multiple of 33329 and 33347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33329 and 33347, than apply into the LCM equation.

GCF(33329,33347) = 1
LCM(33329,33347) = ( 33329 × 33347) / 1
LCM(33329,33347) = 1111422163 / 1
LCM(33329,33347) = 1111422163

Least Common Multiple (LCM) of 33329 and 33347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33329 and 33347. First we will calculate the prime factors of 33329 and 33347.

Prime Factorization of 33329

Prime factors of 33329 are 33329. Prime factorization of 33329 in exponential form is:

33329 = 333291

Prime Factorization of 33347

Prime factors of 33347 are 33347. Prime factorization of 33347 in exponential form is:

33347 = 333471

Now multiplying the highest exponent prime factors to calculate the LCM of 33329 and 33347.

LCM(33329,33347) = 333291 × 333471
LCM(33329,33347) = 1111422163