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What is the Least Common Multiple of 17508 and 17524?

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 17508 and 17524 is 76702548.

LCM(17508,17524) = 76702548

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Least Common Multiple of 17508 and 17524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17508 and 17524, than apply into the LCM equation.

GCF(17508,17524) = 4
LCM(17508,17524) = ( 17508 × 17524) / 4
LCM(17508,17524) = 306810192 / 4
LCM(17508,17524) = 76702548

Least Common Multiple (LCM) of 17508 and 17524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17508 and 17524. First we will calculate the prime factors of 17508 and 17524.

Prime Factorization of 17508

Prime factors of 17508 are 2, 3, 1459. Prime factorization of 17508 in exponential form is:

17508 = 22 × 31 × 14591

Prime Factorization of 17524

Prime factors of 17524 are 2, 13, 337. Prime factorization of 17524 in exponential form is:

17524 = 22 × 131 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 17508 and 17524.

LCM(17508,17524) = 22 × 31 × 14591 × 131 × 3371
LCM(17508,17524) = 76702548