What is the Least Common Multiple of 85831 and 85847?
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 85831 and 85847 is 7368333857.
LCM(85831,85847) = 7368333857
Least Common Multiple of 85831 and 85847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85831 and 85847, than apply into the LCM equation.
GCF(85831,85847) = 1
LCM(85831,85847) = ( 85831 × 85847) / 1
LCM(85831,85847) = 7368333857 / 1
LCM(85831,85847) = 7368333857
Least Common Multiple (LCM) of 85831 and 85847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85831 and 85847. First we will calculate the prime factors of 85831 and 85847.
Prime Factorization of 85831
Prime factors of 85831 are 85831. Prime factorization of 85831 in exponential form is:
85831 = 858311
Prime Factorization of 85847
Prime factors of 85847 are 85847. Prime factorization of 85847 in exponential form is:
85847 = 858471
Now multiplying the highest exponent prime factors to calculate the LCM of 85831 and 85847.
LCM(85831,85847) = 858311 × 858471
LCM(85831,85847) = 7368333857
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