What is the Least Common Multiple of 13230 and 13235?

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 13230 and 13235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13230 and 13235, than apply into the LCM equation.

GCF(13230,13235) = 5
LCM(13230,13235) = ( 13230 × 13235) / 5
LCM(13230,13235) = 175099050 / 5
LCM(13230,13235) = 35019810

Least Common Multiple (LCM) of 13230 and 13235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13230 and 13235. First we will calculate the prime factors of 13230 and 13235.

Prime Factorization of 13230

Prime Factorization of 13235

Now multiplying the highest exponent prime factors to calculate the LCM of 13230 and 13235.

LCM(13230,13235) = 2¹ × 3³ × 5¹ × 7² × 2647¹
LCM(13230,13235) = 35019810