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What is the Least Common Multiple of 17144 and 17159?

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 17144 and 17159 is 294173896.

LCM(17144,17159) = 294173896

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Least Common Multiple of 17144 and 17159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17144 and 17159, than apply into the LCM equation.

GCF(17144,17159) = 1
LCM(17144,17159) = ( 17144 × 17159) / 1
LCM(17144,17159) = 294173896 / 1
LCM(17144,17159) = 294173896

Least Common Multiple (LCM) of 17144 and 17159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17144 and 17159. First we will calculate the prime factors of 17144 and 17159.

Prime Factorization of 17144

Prime factors of 17144 are 2, 2143. Prime factorization of 17144 in exponential form is:

17144 = 23 × 21431

Prime Factorization of 17159

Prime factors of 17159 are 17159. Prime factorization of 17159 in exponential form is:

17159 = 171591

Now multiplying the highest exponent prime factors to calculate the LCM of 17144 and 17159.

LCM(17144,17159) = 23 × 21431 × 171591
LCM(17144,17159) = 294173896