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What is the Least Common Multiple of 17226 and 17243?

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 17226 and 17243 is 297027918.

LCM(17226,17243) = 297027918

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Least Common Multiple of 17226 and 17243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17226 and 17243, than apply into the LCM equation.

GCF(17226,17243) = 1
LCM(17226,17243) = ( 17226 × 17243) / 1
LCM(17226,17243) = 297027918 / 1
LCM(17226,17243) = 297027918

Least Common Multiple (LCM) of 17226 and 17243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17226 and 17243. First we will calculate the prime factors of 17226 and 17243.

Prime Factorization of 17226

Prime factors of 17226 are 2, 3, 11, 29. Prime factorization of 17226 in exponential form is:

17226 = 21 × 33 × 111 × 291

Prime Factorization of 17243

Prime factors of 17243 are 43, 401. Prime factorization of 17243 in exponential form is:

17243 = 431 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 17226 and 17243.

LCM(17226,17243) = 21 × 33 × 111 × 291 × 431 × 4011
LCM(17226,17243) = 297027918