GCF and LCM Calculator Logo

What is the Least Common Multiple of 13935 and 13948?

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 13935 and 13948 is 194365380.

LCM(13935,13948) = 194365380

LCM Calculator and
and

Least Common Multiple of 13935 and 13948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13935 and 13948, than apply into the LCM equation.

GCF(13935,13948) = 1
LCM(13935,13948) = ( 13935 × 13948) / 1
LCM(13935,13948) = 194365380 / 1
LCM(13935,13948) = 194365380

Least Common Multiple (LCM) of 13935 and 13948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13935 and 13948. First we will calculate the prime factors of 13935 and 13948.

Prime Factorization of 13935

Prime factors of 13935 are 3, 5, 929. Prime factorization of 13935 in exponential form is:

13935 = 31 × 51 × 9291

Prime Factorization of 13948

Prime factors of 13948 are 2, 11, 317. Prime factorization of 13948 in exponential form is:

13948 = 22 × 111 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 13935 and 13948.

LCM(13935,13948) = 31 × 51 × 9291 × 22 × 111 × 3171
LCM(13935,13948) = 194365380