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What is the Least Common Multiple of 9876 and 9885?

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 9885 is 32541420.

LCM(9876,9885) = 32541420

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Least Common Multiple of 9876 and 9885 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 9885, than apply into the LCM equation.

GCF(9876,9885) = 3
LCM(9876,9885) = ( 9876 × 9885) / 3
LCM(9876,9885) = 97624260 / 3
LCM(9876,9885) = 32541420

Least Common Multiple (LCM) of 9876 and 9885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9876 and 9885. First we will calculate the prime factors of 9876 and 9885.

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 9885

Prime factors of 9885 are 3, 5, 659. Prime factorization of 9885 in exponential form is:

9885 = 31 × 51 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 9876 and 9885.

LCM(9876,9885) = 22 × 31 × 8231 × 51 × 6591
LCM(9876,9885) = 32541420