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What is the Least Common Multiple of 84927 and 84931?

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 84927 and 84931 is 7212935037.

LCM(84927,84931) = 7212935037

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Least Common Multiple of 84927 and 84931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84927 and 84931, than apply into the LCM equation.

GCF(84927,84931) = 1
LCM(84927,84931) = ( 84927 × 84931) / 1
LCM(84927,84931) = 7212935037 / 1
LCM(84927,84931) = 7212935037

Least Common Multiple (LCM) of 84927 and 84931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84927 and 84931. First we will calculate the prime factors of 84927 and 84931.

Prime Factorization of 84927

Prime factors of 84927 are 3, 28309. Prime factorization of 84927 in exponential form is:

84927 = 31 × 283091

Prime Factorization of 84931

Prime factors of 84931 are 7, 11, 1103. Prime factorization of 84931 in exponential form is:

84931 = 71 × 111 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 84927 and 84931.

LCM(84927,84931) = 31 × 283091 × 71 × 111 × 11031
LCM(84927,84931) = 7212935037