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What is the Least Common Multiple of 84487 and 84498?

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 84487 and 84498 is 7138982526.

LCM(84487,84498) = 7138982526

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Least Common Multiple of 84487 and 84498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84487 and 84498, than apply into the LCM equation.

GCF(84487,84498) = 1
LCM(84487,84498) = ( 84487 × 84498) / 1
LCM(84487,84498) = 7138982526 / 1
LCM(84487,84498) = 7138982526

Least Common Multiple (LCM) of 84487 and 84498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84487 and 84498. First we will calculate the prime factors of 84487 and 84498.

Prime Factorization of 84487

Prime factors of 84487 are 13, 67, 97. Prime factorization of 84487 in exponential form is:

84487 = 131 × 671 × 971

Prime Factorization of 84498

Prime factors of 84498 are 2, 3, 14083. Prime factorization of 84498 in exponential form is:

84498 = 21 × 31 × 140831

Now multiplying the highest exponent prime factors to calculate the LCM of 84487 and 84498.

LCM(84487,84498) = 131 × 671 × 971 × 21 × 31 × 140831
LCM(84487,84498) = 7138982526