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What is the Least Common Multiple of 17239 and 17254?

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 17239 and 17254 is 297441706.

LCM(17239,17254) = 297441706

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Least Common Multiple of 17239 and 17254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17239 and 17254, than apply into the LCM equation.

GCF(17239,17254) = 1
LCM(17239,17254) = ( 17239 × 17254) / 1
LCM(17239,17254) = 297441706 / 1
LCM(17239,17254) = 297441706

Least Common Multiple (LCM) of 17239 and 17254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17239 and 17254. First we will calculate the prime factors of 17239 and 17254.

Prime Factorization of 17239

Prime factors of 17239 are 17239. Prime factorization of 17239 in exponential form is:

17239 = 172391

Prime Factorization of 17254

Prime factors of 17254 are 2, 8627. Prime factorization of 17254 in exponential form is:

17254 = 21 × 86271

Now multiplying the highest exponent prime factors to calculate the LCM of 17239 and 17254.

LCM(17239,17254) = 172391 × 21 × 86271
LCM(17239,17254) = 297441706