GCF and LCM Calculator Logo

What is the Least Common Multiple of 13035 and 13055?

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 13035 and 13055 is 34034385.

LCM(13035,13055) = 34034385

LCM Calculator and
and

Least Common Multiple of 13035 and 13055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13035 and 13055, than apply into the LCM equation.

GCF(13035,13055) = 5
LCM(13035,13055) = ( 13035 × 13055) / 5
LCM(13035,13055) = 170171925 / 5
LCM(13035,13055) = 34034385

Least Common Multiple (LCM) of 13035 and 13055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13035 and 13055. First we will calculate the prime factors of 13035 and 13055.

Prime Factorization of 13035

Prime factors of 13035 are 3, 5, 11, 79. Prime factorization of 13035 in exponential form is:

13035 = 31 × 51 × 111 × 791

Prime Factorization of 13055

Prime factors of 13055 are 5, 7, 373. Prime factorization of 13055 in exponential form is:

13055 = 51 × 71 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 13035 and 13055.

LCM(13035,13055) = 31 × 51 × 111 × 791 × 71 × 3731
LCM(13035,13055) = 34034385