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What is the Least Common Multiple of 84876 and 84895?

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 84876 and 84895 is 7205548020.

LCM(84876,84895) = 7205548020

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Least Common Multiple of 84876 and 84895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84876 and 84895, than apply into the LCM equation.

GCF(84876,84895) = 1
LCM(84876,84895) = ( 84876 × 84895) / 1
LCM(84876,84895) = 7205548020 / 1
LCM(84876,84895) = 7205548020

Least Common Multiple (LCM) of 84876 and 84895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84876 and 84895. First we will calculate the prime factors of 84876 and 84895.

Prime Factorization of 84876

Prime factors of 84876 are 2, 3, 11, 643. Prime factorization of 84876 in exponential form is:

84876 = 22 × 31 × 111 × 6431

Prime Factorization of 84895

Prime factors of 84895 are 5, 16979. Prime factorization of 84895 in exponential form is:

84895 = 51 × 169791

Now multiplying the highest exponent prime factors to calculate the LCM of 84876 and 84895.

LCM(84876,84895) = 22 × 31 × 111 × 6431 × 51 × 169791
LCM(84876,84895) = 7205548020