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What is the Least Common Multiple of 84867 and 84871?

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 84867 and 84871 is 7202747157.

LCM(84867,84871) = 7202747157

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Least Common Multiple of 84867 and 84871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84867 and 84871, than apply into the LCM equation.

GCF(84867,84871) = 1
LCM(84867,84871) = ( 84867 × 84871) / 1
LCM(84867,84871) = 7202747157 / 1
LCM(84867,84871) = 7202747157

Least Common Multiple (LCM) of 84867 and 84871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84867 and 84871. First we will calculate the prime factors of 84867 and 84871.

Prime Factorization of 84867

Prime factors of 84867 are 3, 28289. Prime factorization of 84867 in exponential form is:

84867 = 31 × 282891

Prime Factorization of 84871

Prime factors of 84871 are 84871. Prime factorization of 84871 in exponential form is:

84871 = 848711

Now multiplying the highest exponent prime factors to calculate the LCM of 84867 and 84871.

LCM(84867,84871) = 31 × 282891 × 848711
LCM(84867,84871) = 7202747157