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What is the Least Common Multiple of 17484 and 17498?

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 17484 and 17498 is 152967516.

LCM(17484,17498) = 152967516

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Least Common Multiple of 17484 and 17498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17484 and 17498, than apply into the LCM equation.

GCF(17484,17498) = 2
LCM(17484,17498) = ( 17484 × 17498) / 2
LCM(17484,17498) = 305935032 / 2
LCM(17484,17498) = 152967516

Least Common Multiple (LCM) of 17484 and 17498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17484 and 17498. First we will calculate the prime factors of 17484 and 17498.

Prime Factorization of 17484

Prime factors of 17484 are 2, 3, 31, 47. Prime factorization of 17484 in exponential form is:

17484 = 22 × 31 × 311 × 471

Prime Factorization of 17498

Prime factors of 17498 are 2, 13, 673. Prime factorization of 17498 in exponential form is:

17498 = 21 × 131 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 17484 and 17498.

LCM(17484,17498) = 22 × 31 × 311 × 471 × 131 × 6731
LCM(17484,17498) = 152967516