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What is the Least Common Multiple of 17069 and 17089?

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 17069 and 17089 is 291692141.

LCM(17069,17089) = 291692141

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Least Common Multiple of 17069 and 17089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17069 and 17089, than apply into the LCM equation.

GCF(17069,17089) = 1
LCM(17069,17089) = ( 17069 × 17089) / 1
LCM(17069,17089) = 291692141 / 1
LCM(17069,17089) = 291692141

Least Common Multiple (LCM) of 17069 and 17089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17069 and 17089. First we will calculate the prime factors of 17069 and 17089.

Prime Factorization of 17069

Prime factors of 17069 are 13, 101. Prime factorization of 17069 in exponential form is:

17069 = 132 × 1011

Prime Factorization of 17089

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

17089 = 231 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 17069 and 17089.

LCM(17069,17089) = 132 × 1011 × 231 × 7431
LCM(17069,17089) = 291692141