What is the Least Common Multiple of 17380 and 17395?

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 17380 and 17395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17380 and 17395, than apply into the LCM equation.

GCF(17380,17395) = 5
LCM(17380,17395) = ( 17380 × 17395) / 5
LCM(17380,17395) = 302325100 / 5
LCM(17380,17395) = 60465020

Least Common Multiple (LCM) of 17380 and 17395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17380 and 17395. First we will calculate the prime factors of 17380 and 17395.

Prime Factorization of 17380

Prime Factorization of 17395

Now multiplying the highest exponent prime factors to calculate the LCM of 17380 and 17395.

LCM(17380,17395) = 2² × 5¹ × 11¹ × 79¹ × 7² × 71¹
LCM(17380,17395) = 60465020