GCF and LCM Calculator Logo

What is the Least Common Multiple of 9939 and 9948?

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 9939 and 9948 is 32957724.

LCM(9939,9948) = 32957724

LCM Calculator and
and

Least Common Multiple of 9939 and 9948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9939 and 9948, than apply into the LCM equation.

GCF(9939,9948) = 3
LCM(9939,9948) = ( 9939 × 9948) / 3
LCM(9939,9948) = 98873172 / 3
LCM(9939,9948) = 32957724

Least Common Multiple (LCM) of 9939 and 9948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9939 and 9948. First we will calculate the prime factors of 9939 and 9948.

Prime Factorization of 9939

Prime factors of 9939 are 3, 3313. Prime factorization of 9939 in exponential form is:

9939 = 31 × 33131

Prime Factorization of 9948

Prime factors of 9948 are 2, 3, 829. Prime factorization of 9948 in exponential form is:

9948 = 22 × 31 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 9939 and 9948.

LCM(9939,9948) = 31 × 33131 × 22 × 8291
LCM(9939,9948) = 32957724