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What is the Least Common Multiple of 84931 and 84935?

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 84931 and 84935 is 7213614485.

LCM(84931,84935) = 7213614485

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Least Common Multiple of 84931 and 84935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84931 and 84935, than apply into the LCM equation.

GCF(84931,84935) = 1
LCM(84931,84935) = ( 84931 × 84935) / 1
LCM(84931,84935) = 7213614485 / 1
LCM(84931,84935) = 7213614485

Least Common Multiple (LCM) of 84931 and 84935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84931 and 84935. First we will calculate the prime factors of 84931 and 84935.

Prime Factorization of 84931

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

84931 = 71 × 111 × 11031

Prime Factorization of 84935

Prime factors of 84935 are 5, 16987. Prime factorization of 84935 in exponential form is:

84935 = 51 × 169871

Now multiplying the highest exponent prime factors to calculate the LCM of 84931 and 84935.

LCM(84931,84935) = 71 × 111 × 11031 × 51 × 169871
LCM(84931,84935) = 7213614485