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What is the Least Common Multiple of 84482 and 84501?

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 84482 and 84501 is 7138813482.

LCM(84482,84501) = 7138813482

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Least Common Multiple of 84482 and 84501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84482 and 84501, than apply into the LCM equation.

GCF(84482,84501) = 1
LCM(84482,84501) = ( 84482 × 84501) / 1
LCM(84482,84501) = 7138813482 / 1
LCM(84482,84501) = 7138813482

Least Common Multiple (LCM) of 84482 and 84501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84482 and 84501. First we will calculate the prime factors of 84482 and 84501.

Prime Factorization of 84482

Prime factors of 84482 are 2, 53, 797. Prime factorization of 84482 in exponential form is:

84482 = 21 × 531 × 7971

Prime Factorization of 84501

Prime factors of 84501 are 3, 41, 229. Prime factorization of 84501 in exponential form is:

84501 = 32 × 411 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 84482 and 84501.

LCM(84482,84501) = 21 × 531 × 7971 × 32 × 411 × 2291
LCM(84482,84501) = 7138813482