What is the Least Common Multiple of 19530 and 19538?

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 19530 and 19538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19530 and 19538, than apply into the LCM equation.

GCF(19530,19538) = 2
LCM(19530,19538) = ( 19530 × 19538) / 2
LCM(19530,19538) = 381577140 / 2
LCM(19530,19538) = 190788570

Least Common Multiple (LCM) of 19530 and 19538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19530 and 19538. First we will calculate the prime factors of 19530 and 19538.

Prime Factorization of 19530

Prime Factorization of 19538

Now multiplying the highest exponent prime factors to calculate the LCM of 19530 and 19538.

LCM(19530,19538) = 2¹ × 3² × 5¹ × 7¹ × 31¹ × 9769¹
LCM(19530,19538) = 190788570