What is the Least Common Multiple of 13110 and 13130?

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 13110 and 13130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13110 and 13130, than apply into the LCM equation.

GCF(13110,13130) = 10
LCM(13110,13130) = ( 13110 × 13130) / 10
LCM(13110,13130) = 172134300 / 10
LCM(13110,13130) = 17213430

Least Common Multiple (LCM) of 13110 and 13130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13110 and 13130. First we will calculate the prime factors of 13110 and 13130.

Prime Factorization of 13110

Prime Factorization of 13130

Now multiplying the highest exponent prime factors to calculate the LCM of 13110 and 13130.

LCM(13110,13130) = 2¹ × 3¹ × 5¹ × 19¹ × 23¹ × 13¹ × 101¹
LCM(13110,13130) = 17213430