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What is the Least Common Multiple of 84085 and 84098?

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 84085 and 84098 is 7071380330.

LCM(84085,84098) = 7071380330

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Least Common Multiple of 84085 and 84098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84085 and 84098, than apply into the LCM equation.

GCF(84085,84098) = 1
LCM(84085,84098) = ( 84085 × 84098) / 1
LCM(84085,84098) = 7071380330 / 1
LCM(84085,84098) = 7071380330

Least Common Multiple (LCM) of 84085 and 84098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84085 and 84098. First we will calculate the prime factors of 84085 and 84098.

Prime Factorization of 84085

Prime factors of 84085 are 5, 67, 251. Prime factorization of 84085 in exponential form is:

84085 = 51 × 671 × 2511

Prime Factorization of 84098

Prime factors of 84098 are 2, 7, 6007. Prime factorization of 84098 in exponential form is:

84098 = 21 × 71 × 60071

Now multiplying the highest exponent prime factors to calculate the LCM of 84085 and 84098.

LCM(84085,84098) = 51 × 671 × 2511 × 21 × 71 × 60071
LCM(84085,84098) = 7071380330