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What is the Least Common Multiple of 79979 and 79986?

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 79979 and 79986 is 6397200294.

LCM(79979,79986) = 6397200294

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Least Common Multiple of 79979 and 79986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79979 and 79986, than apply into the LCM equation.

GCF(79979,79986) = 1
LCM(79979,79986) = ( 79979 × 79986) / 1
LCM(79979,79986) = 6397200294 / 1
LCM(79979,79986) = 6397200294

Least Common Multiple (LCM) of 79979 and 79986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79979 and 79986. First we will calculate the prime factors of 79979 and 79986.

Prime Factorization of 79979

Prime factors of 79979 are 79979. Prime factorization of 79979 in exponential form is:

79979 = 799791

Prime Factorization of 79986

Prime factors of 79986 are 2, 3, 13331. Prime factorization of 79986 in exponential form is:

79986 = 21 × 31 × 133311

Now multiplying the highest exponent prime factors to calculate the LCM of 79979 and 79986.

LCM(79979,79986) = 799791 × 21 × 31 × 133311
LCM(79979,79986) = 6397200294