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What is the Least Common Multiple of 17233 and 17238?

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 17233 and 17238 is 297062454.

LCM(17233,17238) = 297062454

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Least Common Multiple of 17233 and 17238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17233 and 17238, than apply into the LCM equation.

GCF(17233,17238) = 1
LCM(17233,17238) = ( 17233 × 17238) / 1
LCM(17233,17238) = 297062454 / 1
LCM(17233,17238) = 297062454

Least Common Multiple (LCM) of 17233 and 17238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17233 and 17238. First we will calculate the prime factors of 17233 and 17238.

Prime Factorization of 17233

Prime factors of 17233 are 19, 907. Prime factorization of 17233 in exponential form is:

17233 = 191 × 9071

Prime Factorization of 17238

Prime factors of 17238 are 2, 3, 13, 17. Prime factorization of 17238 in exponential form is:

17238 = 21 × 31 × 132 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 17233 and 17238.

LCM(17233,17238) = 191 × 9071 × 21 × 31 × 132 × 171
LCM(17233,17238) = 297062454