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What is the Least Common Multiple of 17689 and 17695?

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 17689 and 17695 is 313006855.

LCM(17689,17695) = 313006855

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Least Common Multiple of 17689 and 17695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17689 and 17695, than apply into the LCM equation.

GCF(17689,17695) = 1
LCM(17689,17695) = ( 17689 × 17695) / 1
LCM(17689,17695) = 313006855 / 1
LCM(17689,17695) = 313006855

Least Common Multiple (LCM) of 17689 and 17695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17689 and 17695. First we will calculate the prime factors of 17689 and 17695.

Prime Factorization of 17689

Prime factors of 17689 are 7, 19. Prime factorization of 17689 in exponential form is:

17689 = 72 × 192

Prime Factorization of 17695

Prime factors of 17695 are 5, 3539. Prime factorization of 17695 in exponential form is:

17695 = 51 × 35391

Now multiplying the highest exponent prime factors to calculate the LCM of 17689 and 17695.

LCM(17689,17695) = 72 × 192 × 51 × 35391
LCM(17689,17695) = 313006855