What is the Least Common Multiple of 13113 and 13126?

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 13126 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 13126, than apply into the LCM equation.

GCF(13113,13126) = 1
LCM(13113,13126) = ( 13113 × 13126) / 1
LCM(13113,13126) = 172121238 / 1
LCM(13113,13126) = 172121238

Least Common Multiple (LCM) of 13113 and 13126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13113 and 13126. First we will calculate the prime factors of 13113 and 13126.

Prime Factorization of 13113

Prime Factorization of 13126

Now multiplying the highest exponent prime factors to calculate the LCM of 13113 and 13126.

LCM(13113,13126) = 3² × 31¹ × 47¹ × 2¹ × 6563¹
LCM(13113,13126) = 172121238