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What is the Least Common Multiple of 29168 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 29168 and 29173 is 850918064.

LCM(29168,29173) = 850918064

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Least Common Multiple of 29168 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 29168 and 29173, than apply into the LCM equation.

GCF(29168,29173) = 1
LCM(29168,29173) = ( 29168 × 29173) / 1
LCM(29168,29173) = 850918064 / 1
LCM(29168,29173) = 850918064

Least Common Multiple (LCM) of 29168 and 29173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29168 and 29173. First we will calculate the prime factors of 29168 and 29173.

Prime Factorization of 29168

Prime factors of 29168 are 2, 1823. Prime factorization of 29168 in exponential form is:

29168 = 24 × 18231

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 29168 and 29173.

LCM(29168,29173) = 24 × 18231 × 291731
LCM(29168,29173) = 850918064