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What is the Least Common Multiple of 17594 and 17613?

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 17594 and 17613 is 16309638.

LCM(17594,17613) = 16309638

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Least Common Multiple of 17594 and 17613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17594 and 17613, than apply into the LCM equation.

GCF(17594,17613) = 19
LCM(17594,17613) = ( 17594 × 17613) / 19
LCM(17594,17613) = 309883122 / 19
LCM(17594,17613) = 16309638

Least Common Multiple (LCM) of 17594 and 17613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17594 and 17613. First we will calculate the prime factors of 17594 and 17613.

Prime Factorization of 17594

Prime factors of 17594 are 2, 19, 463. Prime factorization of 17594 in exponential form is:

17594 = 21 × 191 × 4631

Prime Factorization of 17613

Prime factors of 17613 are 3, 19, 103. Prime factorization of 17613 in exponential form is:

17613 = 32 × 191 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 17594 and 17613.

LCM(17594,17613) = 21 × 191 × 4631 × 32 × 1031
LCM(17594,17613) = 16309638