What is the Least Common Multiple of 17145 and 17160?

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 17145 and 17160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17145 and 17160, than apply into the LCM equation.

GCF(17145,17160) = 15
LCM(17145,17160) = ( 17145 × 17160) / 15
LCM(17145,17160) = 294208200 / 15
LCM(17145,17160) = 19613880

Least Common Multiple (LCM) of 17145 and 17160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17145 and 17160. First we will calculate the prime factors of 17145 and 17160.

Prime Factorization of 17145

Prime Factorization of 17160

Now multiplying the highest exponent prime factors to calculate the LCM of 17145 and 17160.

LCM(17145,17160) = 3³ × 5¹ × 127¹ × 2³ × 11¹ × 13¹
LCM(17145,17160) = 19613880