What is the Least Common Multiple of 19845 and 19852?

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 19845 and 19852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19845 and 19852, than apply into the LCM equation.

GCF(19845,19852) = 7
LCM(19845,19852) = ( 19845 × 19852) / 7
LCM(19845,19852) = 393962940 / 7
LCM(19845,19852) = 56280420

Least Common Multiple (LCM) of 19845 and 19852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19845 and 19852. First we will calculate the prime factors of 19845 and 19852.

Prime Factorization of 19845

Prime Factorization of 19852

Now multiplying the highest exponent prime factors to calculate the LCM of 19845 and 19852.

LCM(19845,19852) = 3⁴ × 5¹ × 7² × 2² × 709¹
LCM(19845,19852) = 56280420