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What is the Least Common Multiple of 17117 and 17134?

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 17117 and 17134 is 293282678.

LCM(17117,17134) = 293282678

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Least Common Multiple of 17117 and 17134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17117 and 17134, than apply into the LCM equation.

GCF(17117,17134) = 1
LCM(17117,17134) = ( 17117 × 17134) / 1
LCM(17117,17134) = 293282678 / 1
LCM(17117,17134) = 293282678

Least Common Multiple (LCM) of 17117 and 17134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17117 and 17134. First we will calculate the prime factors of 17117 and 17134.

Prime Factorization of 17117

Prime factors of 17117 are 17117. Prime factorization of 17117 in exponential form is:

17117 = 171171

Prime Factorization of 17134

Prime factors of 17134 are 2, 13, 659. Prime factorization of 17134 in exponential form is:

17134 = 21 × 131 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 17117 and 17134.

LCM(17117,17134) = 171171 × 21 × 131 × 6591
LCM(17117,17134) = 293282678