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What is the Least Common Multiple of 17089 and 17099?

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 17089 and 17099 is 292204811.

LCM(17089,17099) = 292204811

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Least Common Multiple of 17089 and 17099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17089 and 17099, than apply into the LCM equation.

GCF(17089,17099) = 1
LCM(17089,17099) = ( 17089 × 17099) / 1
LCM(17089,17099) = 292204811 / 1
LCM(17089,17099) = 292204811

Least Common Multiple (LCM) of 17089 and 17099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17089 and 17099. First we will calculate the prime factors of 17089 and 17099.

Prime Factorization of 17089

Prime factors of 17089 are 23, 743. Prime factorization of 17089 in exponential form is:

17089 = 231 × 7431

Prime Factorization of 17099

Prime factors of 17099 are 17099. Prime factorization of 17099 in exponential form is:

17099 = 170991

Now multiplying the highest exponent prime factors to calculate the LCM of 17089 and 17099.

LCM(17089,17099) = 231 × 7431 × 170991
LCM(17089,17099) = 292204811