What is the Least Common Multiple of 17130 and 17145?

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 17130 and 17145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17130 and 17145, than apply into the LCM equation.

GCF(17130,17145) = 15
LCM(17130,17145) = ( 17130 × 17145) / 15
LCM(17130,17145) = 293693850 / 15
LCM(17130,17145) = 19579590

Least Common Multiple (LCM) of 17130 and 17145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17130 and 17145. First we will calculate the prime factors of 17130 and 17145.

Prime Factorization of 17130

Prime Factorization of 17145

Now multiplying the highest exponent prime factors to calculate the LCM of 17130 and 17145.

LCM(17130,17145) = 2¹ × 3³ × 5¹ × 571¹ × 127¹
LCM(17130,17145) = 19579590