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What is the Least Common Multiple of 79084 and 79093?

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 79084 and 79093 is 6254990812.

LCM(79084,79093) = 6254990812

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Least Common Multiple of 79084 and 79093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79084 and 79093, than apply into the LCM equation.

GCF(79084,79093) = 1
LCM(79084,79093) = ( 79084 × 79093) / 1
LCM(79084,79093) = 6254990812 / 1
LCM(79084,79093) = 6254990812

Least Common Multiple (LCM) of 79084 and 79093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79084 and 79093. First we will calculate the prime factors of 79084 and 79093.

Prime Factorization of 79084

Prime factors of 79084 are 2, 17, 1163. Prime factorization of 79084 in exponential form is:

79084 = 22 × 171 × 11631

Prime Factorization of 79093

Prime factors of 79093 are 7, 11299. Prime factorization of 79093 in exponential form is:

79093 = 71 × 112991

Now multiplying the highest exponent prime factors to calculate the LCM of 79084 and 79093.

LCM(79084,79093) = 22 × 171 × 11631 × 71 × 112991
LCM(79084,79093) = 6254990812