What is the Least Common Multiple of 19020 and 19035?

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 19020 and 19035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19020 and 19035, than apply into the LCM equation.

GCF(19020,19035) = 15
LCM(19020,19035) = ( 19020 × 19035) / 15
LCM(19020,19035) = 362045700 / 15
LCM(19020,19035) = 24136380

Least Common Multiple (LCM) of 19020 and 19035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19020 and 19035. First we will calculate the prime factors of 19020 and 19035.

Prime Factorization of 19020

Prime Factorization of 19035

Now multiplying the highest exponent prime factors to calculate the LCM of 19020 and 19035.

LCM(19020,19035) = 2² × 3⁴ × 5¹ × 317¹ × 47¹
LCM(19020,19035) = 24136380