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What is the Least Common Multiple of 84466 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 84466 and 84482 is 3567928306.

LCM(84466,84482) = 3567928306

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Least Common Multiple of 84466 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 84466 and 84482, than apply into the LCM equation.

GCF(84466,84482) = 2
LCM(84466,84482) = ( 84466 × 84482) / 2
LCM(84466,84482) = 7135856612 / 2
LCM(84466,84482) = 3567928306

Least Common Multiple (LCM) of 84466 and 84482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84466 and 84482. First we will calculate the prime factors of 84466 and 84482.

Prime Factorization of 84466

Prime factors of 84466 are 2, 157, 269. Prime factorization of 84466 in exponential form is:

84466 = 21 × 1571 × 2691

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 84466 and 84482.

LCM(84466,84482) = 21 × 1571 × 2691 × 531 × 7971
LCM(84466,84482) = 3567928306