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What is the Least Common Multiple of 17539 and 17544?

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 17539 and 17544 is 307704216.

LCM(17539,17544) = 307704216

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Least Common Multiple of 17539 and 17544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17539 and 17544, than apply into the LCM equation.

GCF(17539,17544) = 1
LCM(17539,17544) = ( 17539 × 17544) / 1
LCM(17539,17544) = 307704216 / 1
LCM(17539,17544) = 307704216

Least Common Multiple (LCM) of 17539 and 17544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17539 and 17544. First we will calculate the prime factors of 17539 and 17544.

Prime Factorization of 17539

Prime factors of 17539 are 17539. Prime factorization of 17539 in exponential form is:

17539 = 175391

Prime Factorization of 17544

Prime factors of 17544 are 2, 3, 17, 43. Prime factorization of 17544 in exponential form is:

17544 = 23 × 31 × 171 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 17539 and 17544.

LCM(17539,17544) = 175391 × 23 × 31 × 171 × 431
LCM(17539,17544) = 307704216