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What is the Least Common Multiple of 17270 and 17281?

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 17270 and 17281 is 27131170.

LCM(17270,17281) = 27131170

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Least Common Multiple of 17270 and 17281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17270 and 17281, than apply into the LCM equation.

GCF(17270,17281) = 11
LCM(17270,17281) = ( 17270 × 17281) / 11
LCM(17270,17281) = 298442870 / 11
LCM(17270,17281) = 27131170

Least Common Multiple (LCM) of 17270 and 17281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17270 and 17281. First we will calculate the prime factors of 17270 and 17281.

Prime Factorization of 17270

Prime factors of 17270 are 2, 5, 11, 157. Prime factorization of 17270 in exponential form is:

17270 = 21 × 51 × 111 × 1571

Prime Factorization of 17281

Prime factors of 17281 are 11, 1571. Prime factorization of 17281 in exponential form is:

17281 = 111 × 15711

Now multiplying the highest exponent prime factors to calculate the LCM of 17270 and 17281.

LCM(17270,17281) = 21 × 51 × 111 × 1571 × 15711
LCM(17270,17281) = 27131170