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What is the Least Common Multiple of 84071 and 84079?

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 84071 and 84079 is 7068605609.

LCM(84071,84079) = 7068605609

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Least Common Multiple of 84071 and 84079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84071 and 84079, than apply into the LCM equation.

GCF(84071,84079) = 1
LCM(84071,84079) = ( 84071 × 84079) / 1
LCM(84071,84079) = 7068605609 / 1
LCM(84071,84079) = 7068605609

Least Common Multiple (LCM) of 84071 and 84079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84071 and 84079. First we will calculate the prime factors of 84071 and 84079.

Prime Factorization of 84071

Prime factors of 84071 are 13, 29, 223. Prime factorization of 84071 in exponential form is:

84071 = 131 × 291 × 2231

Prime Factorization of 84079

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

84079 = 831 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 84071 and 84079.

LCM(84071,84079) = 131 × 291 × 2231 × 831 × 10131
LCM(84071,84079) = 7068605609