What is the Least Common Multiple of 18528 and 18538?

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 18528 and 18538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18528 and 18538, than apply into the LCM equation.

GCF(18528,18538) = 2
LCM(18528,18538) = ( 18528 × 18538) / 2
LCM(18528,18538) = 343472064 / 2
LCM(18528,18538) = 171736032

Least Common Multiple (LCM) of 18528 and 18538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18528 and 18538. First we will calculate the prime factors of 18528 and 18538.

Prime Factorization of 18528

Prime Factorization of 18538

Now multiplying the highest exponent prime factors to calculate the LCM of 18528 and 18538.

LCM(18528,18538) = 2⁵ × 3¹ × 193¹ × 13¹ × 23¹ × 31¹
LCM(18528,18538) = 171736032