What is the Least Common Multiple of 28871 and 28891?
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 28871 and 28891 is 834112061.
LCM(28871,28891) = 834112061
Least Common Multiple of 28871 and 28891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28871 and 28891, than apply into the LCM equation.
GCF(28871,28891) = 1
LCM(28871,28891) = ( 28871 × 28891) / 1
LCM(28871,28891) = 834112061 / 1
LCM(28871,28891) = 834112061
Least Common Multiple (LCM) of 28871 and 28891 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28871 and 28891. First we will calculate the prime factors of 28871 and 28891.
Prime Factorization of 28871
Prime factors of 28871 are 28871. Prime factorization of 28871 in exponential form is:
28871 = 288711
Prime Factorization of 28891
Prime factors of 28891 are 167, 173. Prime factorization of 28891 in exponential form is:
28891 = 1671 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 28871 and 28891.
LCM(28871,28891) = 288711 × 1671 × 1731
LCM(28871,28891) = 834112061
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