What is the Least Common Multiple of 80867 and 80887?
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 80887 is 6541089029.
LCM(80867,80887) = 6541089029
Least Common Multiple of 80867 and 80887 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 80887, than apply into the LCM equation.
GCF(80867,80887) = 1
LCM(80867,80887) = ( 80867 × 80887) / 1
LCM(80867,80887) = 6541089029 / 1
LCM(80867,80887) = 6541089029
Least Common Multiple (LCM) of 80867 and 80887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80867 and 80887. First we will calculate the prime factors of 80867 and 80887.
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 80887
Prime factors of 80887 are 47, 1721. Prime factorization of 80887 in exponential form is:
80887 = 471 × 17211
Now multiplying the highest exponent prime factors to calculate the LCM of 80867 and 80887.
LCM(80867,80887) = 1931 × 4191 × 471 × 17211
LCM(80867,80887) = 6541089029
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