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What is the Least Common Multiple of 17113 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 17113 and 17130 is 293145690.

LCM(17113,17130) = 293145690

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Least Common Multiple of 17113 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 17113 and 17130, than apply into the LCM equation.

GCF(17113,17130) = 1
LCM(17113,17130) = ( 17113 × 17130) / 1
LCM(17113,17130) = 293145690 / 1
LCM(17113,17130) = 293145690

Least Common Multiple (LCM) of 17113 and 17130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17113 and 17130. First we will calculate the prime factors of 17113 and 17130.

Prime Factorization of 17113

Prime factors of 17113 are 109, 157. Prime factorization of 17113 in exponential form is:

17113 = 1091 × 1571

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 17113 and 17130.

LCM(17113,17130) = 1091 × 1571 × 21 × 31 × 51 × 5711
LCM(17113,17130) = 293145690