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What is the Least Common Multiple of 29079 and 29087?

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 29079 and 29087 is 845820873.

LCM(29079,29087) = 845820873

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Least Common Multiple of 29079 and 29087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29079 and 29087, than apply into the LCM equation.

GCF(29079,29087) = 1
LCM(29079,29087) = ( 29079 × 29087) / 1
LCM(29079,29087) = 845820873 / 1
LCM(29079,29087) = 845820873

Least Common Multiple (LCM) of 29079 and 29087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29079 and 29087. First we will calculate the prime factors of 29079 and 29087.

Prime Factorization of 29079

Prime factors of 29079 are 3, 359. Prime factorization of 29079 in exponential form is:

29079 = 34 × 3591

Prime Factorization of 29087

Prime factors of 29087 are 17, 29, 59. Prime factorization of 29087 in exponential form is:

29087 = 171 × 291 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 29079 and 29087.

LCM(29079,29087) = 34 × 3591 × 171 × 291 × 591
LCM(29079,29087) = 845820873