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What is the Least Common Multiple of 17090 and 17107?

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 17107 is 292358630.

LCM(17090,17107) = 292358630

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Least Common Multiple of 17090 and 17107 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 17107, than apply into the LCM equation.

GCF(17090,17107) = 1
LCM(17090,17107) = ( 17090 × 17107) / 1
LCM(17090,17107) = 292358630 / 1
LCM(17090,17107) = 292358630

Least Common Multiple (LCM) of 17090 and 17107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17090 and 17107. First we will calculate the prime factors of 17090 and 17107.

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 17107

Prime factors of 17107 are 17107. Prime factorization of 17107 in exponential form is:

17107 = 171071

Now multiplying the highest exponent prime factors to calculate the LCM of 17090 and 17107.

LCM(17090,17107) = 21 × 51 × 17091 × 171071
LCM(17090,17107) = 292358630