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What is the Least Common Multiple of 29173 and 29181?

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 29173 and 29181 is 851297313.

LCM(29173,29181) = 851297313

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Least Common Multiple of 29173 and 29181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29173 and 29181, than apply into the LCM equation.

GCF(29173,29181) = 1
LCM(29173,29181) = ( 29173 × 29181) / 1
LCM(29173,29181) = 851297313 / 1
LCM(29173,29181) = 851297313

Least Common Multiple (LCM) of 29173 and 29181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29173 and 29181. First we will calculate the prime factors of 29173 and 29181.

Prime Factorization of 29173

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

29173 = 291731

Prime Factorization of 29181

Prime factors of 29181 are 3, 71, 137. Prime factorization of 29181 in exponential form is:

29181 = 31 × 711 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 29173 and 29181.

LCM(29173,29181) = 291731 × 31 × 711 × 1371
LCM(29173,29181) = 851297313