What is the Least Common Multiple of 80867 and 80871?
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 80867 and 80871 is 6539795157.
LCM(80867,80871) = 6539795157
Least Common Multiple of 80867 and 80871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80867 and 80871, than apply into the LCM equation.
GCF(80867,80871) = 1
LCM(80867,80871) = ( 80867 × 80871) / 1
LCM(80867,80871) = 6539795157 / 1
LCM(80867,80871) = 6539795157
Least Common Multiple (LCM) of 80867 and 80871 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80867 and 80871. First we will calculate the prime factors of 80867 and 80871.
Prime Factorization of 80867
Prime factors of 80867 are 193, 419. Prime factorization of 80867 in exponential form is:
80867 = 1931 × 4191
Prime Factorization of 80871
Prime factors of 80871 are 3, 7, 3851. Prime factorization of 80871 in exponential form is:
80871 = 31 × 71 × 38511
Now multiplying the highest exponent prime factors to calculate the LCM of 80867 and 80871.
LCM(80867,80871) = 1931 × 4191 × 31 × 71 × 38511
LCM(80867,80871) = 6539795157
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