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What is the Least Common Multiple of 17257 and 17271?

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 17257 and 17271 is 298045647.

LCM(17257,17271) = 298045647

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Least Common Multiple of 17257 and 17271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17257 and 17271, than apply into the LCM equation.

GCF(17257,17271) = 1
LCM(17257,17271) = ( 17257 × 17271) / 1
LCM(17257,17271) = 298045647 / 1
LCM(17257,17271) = 298045647

Least Common Multiple (LCM) of 17257 and 17271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17257 and 17271. First we will calculate the prime factors of 17257 and 17271.

Prime Factorization of 17257

Prime factors of 17257 are 17257. Prime factorization of 17257 in exponential form is:

17257 = 172571

Prime Factorization of 17271

Prime factors of 17271 are 3, 19, 101. Prime factorization of 17271 in exponential form is:

17271 = 32 × 191 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 17257 and 17271.

LCM(17257,17271) = 172571 × 32 × 191 × 1011
LCM(17257,17271) = 298045647