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What is the Least Common Multiple of 86861 and 86865?

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 86861 and 86865 is 7545180765.

LCM(86861,86865) = 7545180765

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Least Common Multiple of 86861 and 86865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86861 and 86865, than apply into the LCM equation.

GCF(86861,86865) = 1
LCM(86861,86865) = ( 86861 × 86865) / 1
LCM(86861,86865) = 7545180765 / 1
LCM(86861,86865) = 7545180765

Least Common Multiple (LCM) of 86861 and 86865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86861 and 86865. First we will calculate the prime factors of 86861 and 86865.

Prime Factorization of 86861

Prime factors of 86861 are 86861. Prime factorization of 86861 in exponential form is:

86861 = 868611

Prime Factorization of 86865

Prime factors of 86865 are 3, 5, 5791. Prime factorization of 86865 in exponential form is:

86865 = 31 × 51 × 57911

Now multiplying the highest exponent prime factors to calculate the LCM of 86861 and 86865.

LCM(86861,86865) = 868611 × 31 × 51 × 57911
LCM(86861,86865) = 7545180765