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What is the Least Common Multiple of 17193 and 17204?

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 17193 and 17204 is 26889852.

LCM(17193,17204) = 26889852

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Least Common Multiple of 17193 and 17204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17193 and 17204, than apply into the LCM equation.

GCF(17193,17204) = 11
LCM(17193,17204) = ( 17193 × 17204) / 11
LCM(17193,17204) = 295788372 / 11
LCM(17193,17204) = 26889852

Least Common Multiple (LCM) of 17193 and 17204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17193 and 17204. First we will calculate the prime factors of 17193 and 17204.

Prime Factorization of 17193

Prime factors of 17193 are 3, 11, 521. Prime factorization of 17193 in exponential form is:

17193 = 31 × 111 × 5211

Prime Factorization of 17204

Prime factors of 17204 are 2, 11, 17, 23. Prime factorization of 17204 in exponential form is:

17204 = 22 × 111 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 17193 and 17204.

LCM(17193,17204) = 31 × 111 × 5211 × 22 × 171 × 231
LCM(17193,17204) = 26889852