GCF and LCM Calculator Logo

What is the Least Common Multiple of 13361 and 13369?

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 13361 and 13369 is 178623209.

LCM(13361,13369) = 178623209

LCM Calculator and
and

Least Common Multiple of 13361 and 13369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13361 and 13369, than apply into the LCM equation.

GCF(13361,13369) = 1
LCM(13361,13369) = ( 13361 × 13369) / 1
LCM(13361,13369) = 178623209 / 1
LCM(13361,13369) = 178623209

Least Common Multiple (LCM) of 13361 and 13369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13361 and 13369. First we will calculate the prime factors of 13361 and 13369.

Prime Factorization of 13361

Prime factors of 13361 are 31, 431. Prime factorization of 13361 in exponential form is:

13361 = 311 × 4311

Prime Factorization of 13369

Prime factors of 13369 are 29, 461. Prime factorization of 13369 in exponential form is:

13369 = 291 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 13361 and 13369.

LCM(13361,13369) = 311 × 4311 × 291 × 4611
LCM(13361,13369) = 178623209