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What is the Least Common Multiple of 79093 and 79106?

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 79093 and 79106 is 6256730858.

LCM(79093,79106) = 6256730858

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Least Common Multiple of 79093 and 79106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79093 and 79106, than apply into the LCM equation.

GCF(79093,79106) = 1
LCM(79093,79106) = ( 79093 × 79106) / 1
LCM(79093,79106) = 6256730858 / 1
LCM(79093,79106) = 6256730858

Least Common Multiple (LCM) of 79093 and 79106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79093 and 79106. First we will calculate the prime factors of 79093 and 79106.

Prime Factorization of 79093

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

79093 = 71 × 112991

Prime Factorization of 79106

Prime factors of 79106 are 2, 37, 1069. Prime factorization of 79106 in exponential form is:

79106 = 21 × 371 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 79093 and 79106.

LCM(79093,79106) = 71 × 112991 × 21 × 371 × 10691
LCM(79093,79106) = 6256730858