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
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
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