What is the Least Common Multiple of 13293 and 13305?

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 13293 and 13305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13293 and 13305, than apply into the LCM equation.

GCF(13293,13305) = 3
LCM(13293,13305) = ( 13293 × 13305) / 3
LCM(13293,13305) = 176863365 / 3
LCM(13293,13305) = 58954455

Least Common Multiple (LCM) of 13293 and 13305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13293 and 13305. First we will calculate the prime factors of 13293 and 13305.

Prime Factorization of 13293

Prime Factorization of 13305

Now multiplying the highest exponent prime factors to calculate the LCM of 13293 and 13305.

LCM(13293,13305) = 3² × 7¹ × 211¹ × 5¹ × 887¹
LCM(13293,13305) = 58954455