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What is the Least Common Multiple of 17080 and 17093?

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 17080 and 17093 is 291948440.

LCM(17080,17093) = 291948440

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Least Common Multiple of 17080 and 17093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17080 and 17093, than apply into the LCM equation.

GCF(17080,17093) = 1
LCM(17080,17093) = ( 17080 × 17093) / 1
LCM(17080,17093) = 291948440 / 1
LCM(17080,17093) = 291948440

Least Common Multiple (LCM) of 17080 and 17093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17080 and 17093. First we will calculate the prime factors of 17080 and 17093.

Prime Factorization of 17080

Prime factors of 17080 are 2, 5, 7, 61. Prime factorization of 17080 in exponential form is:

17080 = 23 × 51 × 71 × 611

Prime Factorization of 17093

Prime factors of 17093 are 17093. Prime factorization of 17093 in exponential form is:

17093 = 170931

Now multiplying the highest exponent prime factors to calculate the LCM of 17080 and 17093.

LCM(17080,17093) = 23 × 51 × 71 × 611 × 170931
LCM(17080,17093) = 291948440