What is the Least Common Multiple of 19470 and 19484?

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 19470 and 19484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19470 and 19484, than apply into the LCM equation.

GCF(19470,19484) = 2
LCM(19470,19484) = ( 19470 × 19484) / 2
LCM(19470,19484) = 379353480 / 2
LCM(19470,19484) = 189676740

Least Common Multiple (LCM) of 19470 and 19484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19470 and 19484. First we will calculate the prime factors of 19470 and 19484.

Prime Factorization of 19470

Prime Factorization of 19484

Now multiplying the highest exponent prime factors to calculate the LCM of 19470 and 19484.

LCM(19470,19484) = 2² × 3¹ × 5¹ × 11¹ × 59¹ × 4871¹
LCM(19470,19484) = 189676740