What is the Least Common Multiple of 17380 and 17385?

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 17385 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 17385, than apply into the LCM equation.

GCF(17380,17385) = 5
LCM(17380,17385) = ( 17380 × 17385) / 5
LCM(17380,17385) = 302151300 / 5
LCM(17380,17385) = 60430260

Least Common Multiple (LCM) of 17380 and 17385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17380 and 17385. First we will calculate the prime factors of 17380 and 17385.

Prime Factorization of 17380

Prime Factorization of 17385

Now multiplying the highest exponent prime factors to calculate the LCM of 17380 and 17385.

LCM(17380,17385) = 2² × 5¹ × 11¹ × 79¹ × 3¹ × 19¹ × 61¹
LCM(17380,17385) = 60430260