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What is the Least Common Multiple of 9885 and 9904?

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 9885 and 9904 is 97901040.

LCM(9885,9904) = 97901040

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Least Common Multiple of 9885 and 9904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9885 and 9904, than apply into the LCM equation.

GCF(9885,9904) = 1
LCM(9885,9904) = ( 9885 × 9904) / 1
LCM(9885,9904) = 97901040 / 1
LCM(9885,9904) = 97901040

Least Common Multiple (LCM) of 9885 and 9904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9885 and 9904. First we will calculate the prime factors of 9885 and 9904.

Prime Factorization of 9885

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

9885 = 31 × 51 × 6591

Prime Factorization of 9904

Prime factors of 9904 are 2, 619. Prime factorization of 9904 in exponential form is:

9904 = 24 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 9885 and 9904.

LCM(9885,9904) = 31 × 51 × 6591 × 24 × 6191
LCM(9885,9904) = 97901040