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What is the Least Common Multiple of 17119 and 17130?

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 17119 and 17130 is 293248470.

LCM(17119,17130) = 293248470

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Least Common Multiple of 17119 and 17130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17119 and 17130, than apply into the LCM equation.

GCF(17119,17130) = 1
LCM(17119,17130) = ( 17119 × 17130) / 1
LCM(17119,17130) = 293248470 / 1
LCM(17119,17130) = 293248470

Least Common Multiple (LCM) of 17119 and 17130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17119 and 17130. First we will calculate the prime factors of 17119 and 17130.

Prime Factorization of 17119

Prime factors of 17119 are 17, 19, 53. Prime factorization of 17119 in exponential form is:

17119 = 171 × 191 × 531

Prime Factorization of 17130

Prime factors of 17130 are 2, 3, 5, 571. Prime factorization of 17130 in exponential form is:

17130 = 21 × 31 × 51 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 17119 and 17130.

LCM(17119,17130) = 171 × 191 × 531 × 21 × 31 × 51 × 5711
LCM(17119,17130) = 293248470