What is the Least Common Multiple of 13113 and 13129?

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 of 13113 and 13129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13113 and 13129, than apply into the LCM equation.

GCF(13113,13129) = 1
LCM(13113,13129) = ( 13113 × 13129) / 1
LCM(13113,13129) = 172160577 / 1
LCM(13113,13129) = 172160577

Least Common Multiple (LCM) of 13113 and 13129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13113 and 13129. First we will calculate the prime factors of 13113 and 13129.

Prime Factorization of 13113

Prime Factorization of 13129

Now multiplying the highest exponent prime factors to calculate the LCM of 13113 and 13129.

LCM(13113,13129) = 3² × 31¹ × 47¹ × 19¹ × 691¹
LCM(13113,13129) = 172160577