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What is the Least Common Multiple of 9868 and 9874?

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 9868 and 9874 is 48718316.

LCM(9868,9874) = 48718316

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Least Common Multiple of 9868 and 9874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9868 and 9874, than apply into the LCM equation.

GCF(9868,9874) = 2
LCM(9868,9874) = ( 9868 × 9874) / 2
LCM(9868,9874) = 97436632 / 2
LCM(9868,9874) = 48718316

Least Common Multiple (LCM) of 9868 and 9874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9868 and 9874. First we will calculate the prime factors of 9868 and 9874.

Prime Factorization of 9868

Prime factors of 9868 are 2, 2467. Prime factorization of 9868 in exponential form is:

9868 = 22 × 24671

Prime Factorization of 9874

Prime factors of 9874 are 2, 4937. Prime factorization of 9874 in exponential form is:

9874 = 21 × 49371

Now multiplying the highest exponent prime factors to calculate the LCM of 9868 and 9874.

LCM(9868,9874) = 22 × 24671 × 49371
LCM(9868,9874) = 48718316