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What is the Least Common Multiple of 17255 and 17260?

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 17260 is 59564260.

LCM(17255,17260) = 59564260

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Least Common Multiple of 17255 and 17260 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 17260, than apply into the LCM equation.

GCF(17255,17260) = 5
LCM(17255,17260) = ( 17255 × 17260) / 5
LCM(17255,17260) = 297821300 / 5
LCM(17255,17260) = 59564260

Least Common Multiple (LCM) of 17255 and 17260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17255 and 17260. First we will calculate the prime factors of 17255 and 17260.

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 17260

Prime factors of 17260 are 2, 5, 863. Prime factorization of 17260 in exponential form is:

17260 = 22 × 51 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 17255 and 17260.

LCM(17255,17260) = 51 × 71 × 171 × 291 × 22 × 8631
LCM(17255,17260) = 59564260