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What is the Least Common Multiple of 17255 and 17264?

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 17255 and 17264 is 297890320.

LCM(17255,17264) = 297890320

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Least Common Multiple of 17255 and 17264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17255 and 17264, than apply into the LCM equation.

GCF(17255,17264) = 1
LCM(17255,17264) = ( 17255 × 17264) / 1
LCM(17255,17264) = 297890320 / 1
LCM(17255,17264) = 297890320

Least Common Multiple (LCM) of 17255 and 17264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17255 and 17264. First we will calculate the prime factors of 17255 and 17264.

Prime Factorization of 17255

Prime factors of 17255 are 5, 7, 17, 29. Prime factorization of 17255 in exponential form is:

17255 = 51 × 71 × 171 × 291

Prime Factorization of 17264

Prime factors of 17264 are 2, 13, 83. Prime factorization of 17264 in exponential form is:

17264 = 24 × 131 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 17255 and 17264.

LCM(17255,17264) = 51 × 71 × 171 × 291 × 24 × 131 × 831
LCM(17255,17264) = 297890320