What is the Least Common Multiple of 13230 and 13234?

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 13234 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 13234, than apply into the LCM equation.

GCF(13230,13234) = 2
LCM(13230,13234) = ( 13230 × 13234) / 2
LCM(13230,13234) = 175085820 / 2
LCM(13230,13234) = 87542910

Least Common Multiple (LCM) of 13230 and 13234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13230 and 13234. First we will calculate the prime factors of 13230 and 13234.

Prime Factorization of 13230

Prime Factorization of 13234

Now multiplying the highest exponent prime factors to calculate the LCM of 13230 and 13234.

LCM(13230,13234) = 2¹ × 3³ × 5¹ × 7² × 13¹ × 509¹
LCM(13230,13234) = 87542910