What is the Least Common Multiple of 19512 and 19530?

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 19512 and 19530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19512 and 19530, than apply into the LCM equation.

GCF(19512,19530) = 18
LCM(19512,19530) = ( 19512 × 19530) / 18
LCM(19512,19530) = 381069360 / 18
LCM(19512,19530) = 21170520

Least Common Multiple (LCM) of 19512 and 19530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19512 and 19530. First we will calculate the prime factors of 19512 and 19530.

Prime Factorization of 19512

Prime Factorization of 19530

Now multiplying the highest exponent prime factors to calculate the LCM of 19512 and 19530.

LCM(19512,19530) = 2³ × 3² × 271¹ × 5¹ × 7¹ × 31¹
LCM(19512,19530) = 21170520