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What is the Least Common Multiple of 17279 and 17293?

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 17279 and 17293 is 298805747.

LCM(17279,17293) = 298805747

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Least Common Multiple of 17279 and 17293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17279 and 17293, than apply into the LCM equation.

GCF(17279,17293) = 1
LCM(17279,17293) = ( 17279 × 17293) / 1
LCM(17279,17293) = 298805747 / 1
LCM(17279,17293) = 298805747

Least Common Multiple (LCM) of 17279 and 17293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17279 and 17293. First we will calculate the prime factors of 17279 and 17293.

Prime Factorization of 17279

Prime factors of 17279 are 37, 467. Prime factorization of 17279 in exponential form is:

17279 = 371 × 4671

Prime Factorization of 17293

Prime factors of 17293 are 17293. Prime factorization of 17293 in exponential form is:

17293 = 172931

Now multiplying the highest exponent prime factors to calculate the LCM of 17279 and 17293.

LCM(17279,17293) = 371 × 4671 × 172931
LCM(17279,17293) = 298805747