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What is the Least Common Multiple of 84079 and 84094?

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 84079 and 84094 is 7070539426.

LCM(84079,84094) = 7070539426

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Least Common Multiple of 84079 and 84094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84079 and 84094, than apply into the LCM equation.

GCF(84079,84094) = 1
LCM(84079,84094) = ( 84079 × 84094) / 1
LCM(84079,84094) = 7070539426 / 1
LCM(84079,84094) = 7070539426

Least Common Multiple (LCM) of 84079 and 84094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84079 and 84094. First we will calculate the prime factors of 84079 and 84094.

Prime Factorization of 84079

Prime factors of 84079 are 83, 1013. Prime factorization of 84079 in exponential form is:

84079 = 831 × 10131

Prime Factorization of 84094

Prime factors of 84094 are 2, 19, 2213. Prime factorization of 84094 in exponential form is:

84094 = 21 × 191 × 22131

Now multiplying the highest exponent prime factors to calculate the LCM of 84079 and 84094.

LCM(84079,84094) = 831 × 10131 × 21 × 191 × 22131
LCM(84079,84094) = 7070539426