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What is the Least Common Multiple of 17096 and 17106?

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 17096 and 17106 is 146222088.

LCM(17096,17106) = 146222088

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Least Common Multiple of 17096 and 17106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17096 and 17106, than apply into the LCM equation.

GCF(17096,17106) = 2
LCM(17096,17106) = ( 17096 × 17106) / 2
LCM(17096,17106) = 292444176 / 2
LCM(17096,17106) = 146222088

Least Common Multiple (LCM) of 17096 and 17106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17096 and 17106. First we will calculate the prime factors of 17096 and 17106.

Prime Factorization of 17096

Prime factors of 17096 are 2, 2137. Prime factorization of 17096 in exponential form is:

17096 = 23 × 21371

Prime Factorization of 17106

Prime factors of 17106 are 2, 3, 2851. Prime factorization of 17106 in exponential form is:

17106 = 21 × 31 × 28511

Now multiplying the highest exponent prime factors to calculate the LCM of 17096 and 17106.

LCM(17096,17106) = 23 × 21371 × 31 × 28511
LCM(17096,17106) = 146222088