What is the Least Common Multiple of 19485 and 19498?

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 19485 and 19498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19485 and 19498, than apply into the LCM equation.

GCF(19485,19498) = 1
LCM(19485,19498) = ( 19485 × 19498) / 1
LCM(19485,19498) = 379918530 / 1
LCM(19485,19498) = 379918530

Least Common Multiple (LCM) of 19485 and 19498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19485 and 19498. First we will calculate the prime factors of 19485 and 19498.

Prime Factorization of 19485

Prime Factorization of 19498

Now multiplying the highest exponent prime factors to calculate the LCM of 19485 and 19498.

LCM(19485,19498) = 3² × 5¹ × 433¹ × 2¹ × 9749¹
LCM(19485,19498) = 379918530