What is the Least Common Multiple of 80867 and 80879?
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 80879 is 6540442093.
LCM(80867,80879) = 6540442093
Least Common Multiple of 80867 and 80879 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 80879, than apply into the LCM equation.
GCF(80867,80879) = 1
LCM(80867,80879) = ( 80867 × 80879) / 1
LCM(80867,80879) = 6540442093 / 1
LCM(80867,80879) = 6540442093
Least Common Multiple (LCM) of 80867 and 80879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80867 and 80879. First we will calculate the prime factors of 80867 and 80879.
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 80879
Prime factors of 80879 are 31, 2609. Prime factorization of 80879 in exponential form is:
80879 = 311 × 26091
Now multiplying the highest exponent prime factors to calculate the LCM of 80867 and 80879.
LCM(80867,80879) = 1931 × 4191 × 311 × 26091
LCM(80867,80879) = 6540442093
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