What is the Least Common Multiple of 17145 and 17164?

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 17164 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 17164, than apply into the LCM equation.

GCF(17145,17164) = 1
LCM(17145,17164) = ( 17145 × 17164) / 1
LCM(17145,17164) = 294276780 / 1
LCM(17145,17164) = 294276780

Least Common Multiple (LCM) of 17145 and 17164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17145 and 17164. First we will calculate the prime factors of 17145 and 17164.

Prime Factorization of 17145

Prime Factorization of 17164

Now multiplying the highest exponent prime factors to calculate the LCM of 17145 and 17164.

LCM(17145,17164) = 3³ × 5¹ × 127¹ × 2² × 7¹ × 613¹
LCM(17145,17164) = 294276780