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What is the Least Common Multiple of 17446 and 17459?

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 17446 and 17459 is 23429978.

LCM(17446,17459) = 23429978

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Least Common Multiple of 17446 and 17459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17446 and 17459, than apply into the LCM equation.

GCF(17446,17459) = 13
LCM(17446,17459) = ( 17446 × 17459) / 13
LCM(17446,17459) = 304589714 / 13
LCM(17446,17459) = 23429978

Least Common Multiple (LCM) of 17446 and 17459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17446 and 17459. First we will calculate the prime factors of 17446 and 17459.

Prime Factorization of 17446

Prime factors of 17446 are 2, 11, 13, 61. Prime factorization of 17446 in exponential form is:

17446 = 21 × 111 × 131 × 611

Prime Factorization of 17459

Prime factors of 17459 are 13, 17, 79. Prime factorization of 17459 in exponential form is:

17459 = 131 × 171 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 17446 and 17459.

LCM(17446,17459) = 21 × 111 × 131 × 611 × 171 × 791
LCM(17446,17459) = 23429978