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What is the Least Common Multiple of 9876 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 9876 and 9887 is 97644012.

LCM(9876,9887) = 97644012

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Least Common Multiple of 9876 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 9876 and 9887, than apply into the LCM equation.

GCF(9876,9887) = 1
LCM(9876,9887) = ( 9876 × 9887) / 1
LCM(9876,9887) = 97644012 / 1
LCM(9876,9887) = 97644012

Least Common Multiple (LCM) of 9876 and 9887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9876 and 9887. First we will calculate the prime factors of 9876 and 9887.

Prime Factorization of 9876

Prime factors of 9876 are 2, 3, 823. Prime factorization of 9876 in exponential form is:

9876 = 22 × 31 × 8231

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 9876 and 9887.

LCM(9876,9887) = 22 × 31 × 8231 × 98871
LCM(9876,9887) = 97644012