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What is the Least Common Multiple of 84849 and 84866?

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 84849 and 84866 is 7200795234.

LCM(84849,84866) = 7200795234

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Least Common Multiple of 84849 and 84866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84849 and 84866, than apply into the LCM equation.

GCF(84849,84866) = 1
LCM(84849,84866) = ( 84849 × 84866) / 1
LCM(84849,84866) = 7200795234 / 1
LCM(84849,84866) = 7200795234

Least Common Multiple (LCM) of 84849 and 84866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84849 and 84866. First we will calculate the prime factors of 84849 and 84866.

Prime Factorization of 84849

Prime factors of 84849 are 3, 28283. Prime factorization of 84849 in exponential form is:

84849 = 31 × 282831

Prime Factorization of 84866

Prime factors of 84866 are 2, 42433. Prime factorization of 84866 in exponential form is:

84866 = 21 × 424331

Now multiplying the highest exponent prime factors to calculate the LCM of 84849 and 84866.

LCM(84849,84866) = 31 × 282831 × 21 × 424331
LCM(84849,84866) = 7200795234