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What is the Least Common Multiple of 29163 and 29179?

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 29163 and 29179 is 850947177.

LCM(29163,29179) = 850947177

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Least Common Multiple of 29163 and 29179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29163 and 29179, than apply into the LCM equation.

GCF(29163,29179) = 1
LCM(29163,29179) = ( 29163 × 29179) / 1
LCM(29163,29179) = 850947177 / 1
LCM(29163,29179) = 850947177

Least Common Multiple (LCM) of 29163 and 29179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29163 and 29179. First we will calculate the prime factors of 29163 and 29179.

Prime Factorization of 29163

Prime factors of 29163 are 3, 9721. Prime factorization of 29163 in exponential form is:

29163 = 31 × 97211

Prime Factorization of 29179

Prime factors of 29179 are 29179. Prime factorization of 29179 in exponential form is:

29179 = 291791

Now multiplying the highest exponent prime factors to calculate the LCM of 29163 and 29179.

LCM(29163,29179) = 31 × 97211 × 291791
LCM(29163,29179) = 850947177