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What is the Least Common Multiple of 84017 and 84029?

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 84017 and 84029 is 7059864493.

LCM(84017,84029) = 7059864493

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Least Common Multiple of 84017 and 84029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84017 and 84029, than apply into the LCM equation.

GCF(84017,84029) = 1
LCM(84017,84029) = ( 84017 × 84029) / 1
LCM(84017,84029) = 7059864493 / 1
LCM(84017,84029) = 7059864493

Least Common Multiple (LCM) of 84017 and 84029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84017 and 84029. First we will calculate the prime factors of 84017 and 84029.

Prime Factorization of 84017

Prime factors of 84017 are 84017. Prime factorization of 84017 in exponential form is:

84017 = 840171

Prime Factorization of 84029

Prime factors of 84029 are 11, 7639. Prime factorization of 84029 in exponential form is:

84029 = 111 × 76391

Now multiplying the highest exponent prime factors to calculate the LCM of 84017 and 84029.

LCM(84017,84029) = 840171 × 111 × 76391
LCM(84017,84029) = 7059864493