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What is the Least Common Multiple of 17268 and 17286?

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 17268 and 17286 is 49749108.

LCM(17268,17286) = 49749108

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Least Common Multiple of 17268 and 17286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17268 and 17286, than apply into the LCM equation.

GCF(17268,17286) = 6
LCM(17268,17286) = ( 17268 × 17286) / 6
LCM(17268,17286) = 298494648 / 6
LCM(17268,17286) = 49749108

Least Common Multiple (LCM) of 17268 and 17286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17268 and 17286. First we will calculate the prime factors of 17268 and 17286.

Prime Factorization of 17268

Prime factors of 17268 are 2, 3, 1439. Prime factorization of 17268 in exponential form is:

17268 = 22 × 31 × 14391

Prime Factorization of 17286

Prime factors of 17286 are 2, 3, 43, 67. Prime factorization of 17286 in exponential form is:

17286 = 21 × 31 × 431 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 17268 and 17286.

LCM(17268,17286) = 22 × 31 × 14391 × 431 × 671
LCM(17268,17286) = 49749108