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What is the Least Common Multiple of 33331 and 33351?

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 33331 and 33351 is 1111622181.

LCM(33331,33351) = 1111622181

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Least Common Multiple of 33331 and 33351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33331 and 33351, than apply into the LCM equation.

GCF(33331,33351) = 1
LCM(33331,33351) = ( 33331 × 33351) / 1
LCM(33331,33351) = 1111622181 / 1
LCM(33331,33351) = 1111622181

Least Common Multiple (LCM) of 33331 and 33351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33331 and 33351. First we will calculate the prime factors of 33331 and 33351.

Prime Factorization of 33331

Prime factors of 33331 are 33331. Prime factorization of 33331 in exponential form is:

33331 = 333311

Prime Factorization of 33351

Prime factors of 33351 are 3, 11117. Prime factorization of 33351 in exponential form is:

33351 = 31 × 111171

Now multiplying the highest exponent prime factors to calculate the LCM of 33331 and 33351.

LCM(33331,33351) = 333311 × 31 × 111171
LCM(33331,33351) = 1111622181