What is the Least Common Multiple of 80831 and 80843?
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 80831 and 80843 is 6534620533.
LCM(80831,80843) = 6534620533
Least Common Multiple of 80831 and 80843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80831 and 80843, than apply into the LCM equation.
GCF(80831,80843) = 1
LCM(80831,80843) = ( 80831 × 80843) / 1
LCM(80831,80843) = 6534620533 / 1
LCM(80831,80843) = 6534620533
Least Common Multiple (LCM) of 80831 and 80843 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80831 and 80843. First we will calculate the prime factors of 80831 and 80843.
Prime Factorization of 80831
Prime factors of 80831 are 80831. Prime factorization of 80831 in exponential form is:
80831 = 808311
Prime Factorization of 80843
Prime factors of 80843 are 7, 11549. Prime factorization of 80843 in exponential form is:
80843 = 71 × 115491
Now multiplying the highest exponent prime factors to calculate the LCM of 80831 and 80843.
LCM(80831,80843) = 808311 × 71 × 115491
LCM(80831,80843) = 6534620533
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