What is the Least Common Multiple of 9879 and 9887?
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 9879 and 9887 is 97673673.
LCM(9879,9887) = 97673673
Least Common Multiple of 9879 and 9887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9879 and 9887, than apply into the LCM equation.
GCF(9879,9887) = 1
LCM(9879,9887) = ( 9879 × 9887) / 1
LCM(9879,9887) = 97673673 / 1
LCM(9879,9887) = 97673673
Least Common Multiple (LCM) of 9879 and 9887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9879 and 9887. First we will calculate the prime factors of 9879 and 9887.
Prime Factorization of 9879
Prime factors of 9879 are 3, 37, 89. Prime factorization of 9879 in exponential form is:
9879 = 31 × 371 × 891
Prime Factorization of 9887
Prime factors of 9887 are 9887. Prime factorization of 9887 in exponential form is:
9887 = 98871
Now multiplying the highest exponent prime factors to calculate the LCM of 9879 and 9887.
LCM(9879,9887) = 31 × 371 × 891 × 98871
LCM(9879,9887) = 97673673
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