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What is the Least Common Multiple of 17479 and 17492?

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 17479 and 17492 is 305742668.

LCM(17479,17492) = 305742668

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Least Common Multiple of 17479 and 17492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17479 and 17492, than apply into the LCM equation.

GCF(17479,17492) = 1
LCM(17479,17492) = ( 17479 × 17492) / 1
LCM(17479,17492) = 305742668 / 1
LCM(17479,17492) = 305742668

Least Common Multiple (LCM) of 17479 and 17492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17479 and 17492. First we will calculate the prime factors of 17479 and 17492.

Prime Factorization of 17479

Prime factors of 17479 are 7, 11, 227. Prime factorization of 17479 in exponential form is:

17479 = 71 × 111 × 2271

Prime Factorization of 17492

Prime factors of 17492 are 2, 4373. Prime factorization of 17492 in exponential form is:

17492 = 22 × 43731

Now multiplying the highest exponent prime factors to calculate the LCM of 17479 and 17492.

LCM(17479,17492) = 71 × 111 × 2271 × 22 × 43731
LCM(17479,17492) = 305742668