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What is the Least Common Multiple of 17090 and 17110?

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 17090 and 17110 is 29240990.

LCM(17090,17110) = 29240990

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Least Common Multiple of 17090 and 17110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17090 and 17110, than apply into the LCM equation.

GCF(17090,17110) = 10
LCM(17090,17110) = ( 17090 × 17110) / 10
LCM(17090,17110) = 292409900 / 10
LCM(17090,17110) = 29240990

Least Common Multiple (LCM) of 17090 and 17110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17090 and 17110. First we will calculate the prime factors of 17090 and 17110.

Prime Factorization of 17090

Prime factors of 17090 are 2, 5, 1709. Prime factorization of 17090 in exponential form is:

17090 = 21 × 51 × 17091

Prime Factorization of 17110

Prime factors of 17110 are 2, 5, 29, 59. Prime factorization of 17110 in exponential form is:

17110 = 21 × 51 × 291 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 17090 and 17110.

LCM(17090,17110) = 21 × 51 × 17091 × 291 × 591
LCM(17090,17110) = 29240990