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What is the Least Common Multiple of 33253 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 33253 and 33266 is 1106194298.

LCM(33253,33266) = 1106194298

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Least Common Multiple of 33253 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 33253 and 33266, than apply into the LCM equation.

GCF(33253,33266) = 1
LCM(33253,33266) = ( 33253 × 33266) / 1
LCM(33253,33266) = 1106194298 / 1
LCM(33253,33266) = 1106194298

Least Common Multiple (LCM) of 33253 and 33266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33253 and 33266. First we will calculate the prime factors of 33253 and 33266.

Prime Factorization of 33253

Prime factors of 33253 are 11, 3023. Prime factorization of 33253 in exponential form is:

33253 = 111 × 30231

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 33253 and 33266.

LCM(33253,33266) = 111 × 30231 × 21 × 166331
LCM(33253,33266) = 1106194298