GCF and LCM Calculator Logo

What is the Least Common Multiple of 13416 and 13434?

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 13416 and 13434 is 30038424.

LCM(13416,13434) = 30038424

LCM Calculator and
and

Least Common Multiple of 13416 and 13434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13416 and 13434, than apply into the LCM equation.

GCF(13416,13434) = 6
LCM(13416,13434) = ( 13416 × 13434) / 6
LCM(13416,13434) = 180230544 / 6
LCM(13416,13434) = 30038424

Least Common Multiple (LCM) of 13416 and 13434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13416 and 13434. First we will calculate the prime factors of 13416 and 13434.

Prime Factorization of 13416

Prime factors of 13416 are 2, 3, 13, 43. Prime factorization of 13416 in exponential form is:

13416 = 23 × 31 × 131 × 431

Prime Factorization of 13434

Prime factors of 13434 are 2, 3, 2239. Prime factorization of 13434 in exponential form is:

13434 = 21 × 31 × 22391

Now multiplying the highest exponent prime factors to calculate the LCM of 13416 and 13434.

LCM(13416,13434) = 23 × 31 × 131 × 431 × 22391
LCM(13416,13434) = 30038424