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What is the Least Common Multiple of 33251 and 33266?

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 33251 and 33266 is 1106127766.

LCM(33251,33266) = 1106127766

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Least Common Multiple of 33251 and 33266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33251 and 33266, than apply into the LCM equation.

GCF(33251,33266) = 1
LCM(33251,33266) = ( 33251 × 33266) / 1
LCM(33251,33266) = 1106127766 / 1
LCM(33251,33266) = 1106127766

Least Common Multiple (LCM) of 33251 and 33266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33251 and 33266. First we will calculate the prime factors of 33251 and 33266.

Prime Factorization of 33251

Prime factors of 33251 are 41, 811. Prime factorization of 33251 in exponential form is:

33251 = 411 × 8111

Prime Factorization of 33266

Prime factors of 33266 are 2, 16633. Prime factorization of 33266 in exponential form is:

33266 = 21 × 166331

Now multiplying the highest exponent prime factors to calculate the LCM of 33251 and 33266.

LCM(33251,33266) = 411 × 8111 × 21 × 166331
LCM(33251,33266) = 1106127766