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What is the Least Common Multiple of 84034 and 84047?

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 84034 and 84047 is 7062805598.

LCM(84034,84047) = 7062805598

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Least Common Multiple of 84034 and 84047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84034 and 84047, than apply into the LCM equation.

GCF(84034,84047) = 1
LCM(84034,84047) = ( 84034 × 84047) / 1
LCM(84034,84047) = 7062805598 / 1
LCM(84034,84047) = 7062805598

Least Common Multiple (LCM) of 84034 and 84047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84034 and 84047. First we will calculate the prime factors of 84034 and 84047.

Prime Factorization of 84034

Prime factors of 84034 are 2, 42017. Prime factorization of 84034 in exponential form is:

84034 = 21 × 420171

Prime Factorization of 84047

Prime factors of 84047 are 84047. Prime factorization of 84047 in exponential form is:

84047 = 840471

Now multiplying the highest exponent prime factors to calculate the LCM of 84034 and 84047.

LCM(84034,84047) = 21 × 420171 × 840471
LCM(84034,84047) = 7062805598