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What is the Least Common Multiple of 84883 and 84896?

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 84883 and 84896 is 7206227168.

LCM(84883,84896) = 7206227168

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Least Common Multiple of 84883 and 84896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84883 and 84896, than apply into the LCM equation.

GCF(84883,84896) = 1
LCM(84883,84896) = ( 84883 × 84896) / 1
LCM(84883,84896) = 7206227168 / 1
LCM(84883,84896) = 7206227168

Least Common Multiple (LCM) of 84883 and 84896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84883 and 84896. First we will calculate the prime factors of 84883 and 84896.

Prime Factorization of 84883

Prime factors of 84883 are 29, 2927. Prime factorization of 84883 in exponential form is:

84883 = 291 × 29271

Prime Factorization of 84896

Prime factors of 84896 are 2, 7, 379. Prime factorization of 84896 in exponential form is:

84896 = 25 × 71 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 84883 and 84896.

LCM(84883,84896) = 291 × 29271 × 25 × 71 × 3791
LCM(84883,84896) = 7206227168