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What is the Least Common Multiple of 23332 and 23338?

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 23332 and 23338 is 272261108.

LCM(23332,23338) = 272261108

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Least Common Multiple of 23332 and 23338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23332 and 23338, than apply into the LCM equation.

GCF(23332,23338) = 2
LCM(23332,23338) = ( 23332 × 23338) / 2
LCM(23332,23338) = 544522216 / 2
LCM(23332,23338) = 272261108

Least Common Multiple (LCM) of 23332 and 23338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23332 and 23338. First we will calculate the prime factors of 23332 and 23338.

Prime Factorization of 23332

Prime factors of 23332 are 2, 19, 307. Prime factorization of 23332 in exponential form is:

23332 = 22 × 191 × 3071

Prime Factorization of 23338

Prime factors of 23338 are 2, 7, 1667. Prime factorization of 23338 in exponential form is:

23338 = 21 × 71 × 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 23332 and 23338.

LCM(23332,23338) = 22 × 191 × 3071 × 71 × 16671
LCM(23332,23338) = 272261108