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What is the Least Common Multiple of 11334 and 11353?

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 11334 and 11353 is 128674902.

LCM(11334,11353) = 128674902

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Least Common Multiple of 11334 and 11353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11334 and 11353, than apply into the LCM equation.

GCF(11334,11353) = 1
LCM(11334,11353) = ( 11334 × 11353) / 1
LCM(11334,11353) = 128674902 / 1
LCM(11334,11353) = 128674902

Least Common Multiple (LCM) of 11334 and 11353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11334 and 11353. First we will calculate the prime factors of 11334 and 11353.

Prime Factorization of 11334

Prime factors of 11334 are 2, 3, 1889. Prime factorization of 11334 in exponential form is:

11334 = 21 × 31 × 18891

Prime Factorization of 11353

Prime factors of 11353 are 11353. Prime factorization of 11353 in exponential form is:

11353 = 113531

Now multiplying the highest exponent prime factors to calculate the LCM of 11334 and 11353.

LCM(11334,11353) = 21 × 31 × 18891 × 113531
LCM(11334,11353) = 128674902