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What is the Least Common Multiple of 84471 and 84482?

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 84471 and 84482 is 7136279022.

LCM(84471,84482) = 7136279022

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Least Common Multiple of 84471 and 84482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84471 and 84482, than apply into the LCM equation.

GCF(84471,84482) = 1
LCM(84471,84482) = ( 84471 × 84482) / 1
LCM(84471,84482) = 7136279022 / 1
LCM(84471,84482) = 7136279022

Least Common Multiple (LCM) of 84471 and 84482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84471 and 84482. First we will calculate the prime factors of 84471 and 84482.

Prime Factorization of 84471

Prime factors of 84471 are 3, 37, 761. Prime factorization of 84471 in exponential form is:

84471 = 31 × 371 × 7611

Prime Factorization of 84482

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

84482 = 21 × 531 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 84471 and 84482.

LCM(84471,84482) = 31 × 371 × 7611 × 21 × 531 × 7971
LCM(84471,84482) = 7136279022