What is the Least Common Multiple of 19528 and 19539?

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 19528 and 19539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19528 and 19539, than apply into the LCM equation.

GCF(19528,19539) = 1
LCM(19528,19539) = ( 19528 × 19539) / 1
LCM(19528,19539) = 381557592 / 1
LCM(19528,19539) = 381557592

Least Common Multiple (LCM) of 19528 and 19539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19528 and 19539. First we will calculate the prime factors of 19528 and 19539.

Prime Factorization of 19528

Prime Factorization of 19539

Now multiplying the highest exponent prime factors to calculate the LCM of 19528 and 19539.

LCM(19528,19539) = 2³ × 2441¹ × 3² × 13¹ × 167¹
LCM(19528,19539) = 381557592