GCF and LCM Calculator Logo

What is the Least Common Multiple of 13105 and 13120?

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 13105 and 13120 is 34387520.

LCM(13105,13120) = 34387520

LCM Calculator and
and

Least Common Multiple of 13105 and 13120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13105 and 13120, than apply into the LCM equation.

GCF(13105,13120) = 5
LCM(13105,13120) = ( 13105 × 13120) / 5
LCM(13105,13120) = 171937600 / 5
LCM(13105,13120) = 34387520

Least Common Multiple (LCM) of 13105 and 13120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13105 and 13120. First we will calculate the prime factors of 13105 and 13120.

Prime Factorization of 13105

Prime factors of 13105 are 5, 2621. Prime factorization of 13105 in exponential form is:

13105 = 51 × 26211

Prime Factorization of 13120

Prime factors of 13120 are 2, 5, 41. Prime factorization of 13120 in exponential form is:

13120 = 26 × 51 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 13105 and 13120.

LCM(13105,13120) = 51 × 26211 × 26 × 411
LCM(13105,13120) = 34387520