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What is the Least Common Multiple of 17589 and 17595?

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 17589 and 17595 is 103159485.

LCM(17589,17595) = 103159485

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Least Common Multiple of 17589 and 17595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17589 and 17595, than apply into the LCM equation.

GCF(17589,17595) = 3
LCM(17589,17595) = ( 17589 × 17595) / 3
LCM(17589,17595) = 309478455 / 3
LCM(17589,17595) = 103159485

Least Common Multiple (LCM) of 17589 and 17595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17589 and 17595. First we will calculate the prime factors of 17589 and 17595.

Prime Factorization of 17589

Prime factors of 17589 are 3, 11, 13, 41. Prime factorization of 17589 in exponential form is:

17589 = 31 × 111 × 131 × 411

Prime Factorization of 17595

Prime factors of 17595 are 3, 5, 17, 23. Prime factorization of 17595 in exponential form is:

17595 = 32 × 51 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 17589 and 17595.

LCM(17589,17595) = 32 × 111 × 131 × 411 × 51 × 171 × 231
LCM(17589,17595) = 103159485