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What is the Least Common Multiple of 29157 and 29173?

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 29157 and 29173 is 850597161.

LCM(29157,29173) = 850597161

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Least Common Multiple of 29157 and 29173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29157 and 29173, than apply into the LCM equation.

GCF(29157,29173) = 1
LCM(29157,29173) = ( 29157 × 29173) / 1
LCM(29157,29173) = 850597161 / 1
LCM(29157,29173) = 850597161

Least Common Multiple (LCM) of 29157 and 29173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29157 and 29173. First we will calculate the prime factors of 29157 and 29173.

Prime Factorization of 29157

Prime factors of 29157 are 3, 9719. Prime factorization of 29157 in exponential form is:

29157 = 31 × 97191

Prime Factorization of 29173

Prime factors of 29173 are 29173. Prime factorization of 29173 in exponential form is:

29173 = 291731

Now multiplying the highest exponent prime factors to calculate the LCM of 29157 and 29173.

LCM(29157,29173) = 31 × 97191 × 291731
LCM(29157,29173) = 850597161