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What is the Least Common Multiple of 17221 and 17239?

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 17221 and 17239 is 296872819.

LCM(17221,17239) = 296872819

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Least Common Multiple of 17221 and 17239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17221 and 17239, than apply into the LCM equation.

GCF(17221,17239) = 1
LCM(17221,17239) = ( 17221 × 17239) / 1
LCM(17221,17239) = 296872819 / 1
LCM(17221,17239) = 296872819

Least Common Multiple (LCM) of 17221 and 17239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17221 and 17239. First we will calculate the prime factors of 17221 and 17239.

Prime Factorization of 17221

Prime factors of 17221 are 17, 1013. Prime factorization of 17221 in exponential form is:

17221 = 171 × 10131

Prime Factorization of 17239

Prime factors of 17239 are 17239. Prime factorization of 17239 in exponential form is:

17239 = 172391

Now multiplying the highest exponent prime factors to calculate the LCM of 17221 and 17239.

LCM(17221,17239) = 171 × 10131 × 172391
LCM(17221,17239) = 296872819