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What is the Least Common Multiple of 29077 and 29093?

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 29077 and 29093 is 845937161.

LCM(29077,29093) = 845937161

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Least Common Multiple of 29077 and 29093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29077 and 29093, than apply into the LCM equation.

GCF(29077,29093) = 1
LCM(29077,29093) = ( 29077 × 29093) / 1
LCM(29077,29093) = 845937161 / 1
LCM(29077,29093) = 845937161

Least Common Multiple (LCM) of 29077 and 29093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29077 and 29093. First we will calculate the prime factors of 29077 and 29093.

Prime Factorization of 29077

Prime factors of 29077 are 29077. Prime factorization of 29077 in exponential form is:

29077 = 290771

Prime Factorization of 29093

Prime factors of 29093 are 47, 619. Prime factorization of 29093 in exponential form is:

29093 = 471 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 29077 and 29093.

LCM(29077,29093) = 290771 × 471 × 6191
LCM(29077,29093) = 845937161