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What is the Least Common Multiple of 17139 and 17151?

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 17139 and 17151 is 97983663.

LCM(17139,17151) = 97983663

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Least Common Multiple of 17139 and 17151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17139 and 17151, than apply into the LCM equation.

GCF(17139,17151) = 3
LCM(17139,17151) = ( 17139 × 17151) / 3
LCM(17139,17151) = 293950989 / 3
LCM(17139,17151) = 97983663

Least Common Multiple (LCM) of 17139 and 17151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17139 and 17151. First we will calculate the prime factors of 17139 and 17151.

Prime Factorization of 17139

Prime factors of 17139 are 3, 29, 197. Prime factorization of 17139 in exponential form is:

17139 = 31 × 291 × 1971

Prime Factorization of 17151

Prime factors of 17151 are 3, 5717. Prime factorization of 17151 in exponential form is:

17151 = 31 × 57171

Now multiplying the highest exponent prime factors to calculate the LCM of 17139 and 17151.

LCM(17139,17151) = 31 × 291 × 1971 × 57171
LCM(17139,17151) = 97983663