What is the Least Common Multiple of 18320 and 18338?

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 18320 and 18338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18320 and 18338, than apply into the LCM equation.

GCF(18320,18338) = 2
LCM(18320,18338) = ( 18320 × 18338) / 2
LCM(18320,18338) = 335952160 / 2
LCM(18320,18338) = 167976080

Least Common Multiple (LCM) of 18320 and 18338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18320 and 18338. First we will calculate the prime factors of 18320 and 18338.

Prime Factorization of 18320

Prime Factorization of 18338

Now multiplying the highest exponent prime factors to calculate the LCM of 18320 and 18338.

LCM(18320,18338) = 2⁴ × 5¹ × 229¹ × 53¹ × 173¹
LCM(18320,18338) = 167976080