GCF and LCM Calculator Logo

What is the Least Common Multiple of 13058 and 13068?

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 13058 and 13068 is 85320972.

LCM(13058,13068) = 85320972

LCM Calculator and
and

Least Common Multiple of 13058 and 13068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13058 and 13068, than apply into the LCM equation.

GCF(13058,13068) = 2
LCM(13058,13068) = ( 13058 × 13068) / 2
LCM(13058,13068) = 170641944 / 2
LCM(13058,13068) = 85320972

Least Common Multiple (LCM) of 13058 and 13068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13058 and 13068. First we will calculate the prime factors of 13058 and 13068.

Prime Factorization of 13058

Prime factors of 13058 are 2, 6529. Prime factorization of 13058 in exponential form is:

13058 = 21 × 65291

Prime Factorization of 13068

Prime factors of 13068 are 2, 3, 11. Prime factorization of 13068 in exponential form is:

13068 = 22 × 33 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 13058 and 13068.

LCM(13058,13068) = 22 × 65291 × 33 × 112
LCM(13058,13068) = 85320972