What is the Least Common Multiple of 19789 and 19800?

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 19789 and 19800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19789 and 19800, than apply into the LCM equation.

GCF(19789,19800) = 11
LCM(19789,19800) = ( 19789 × 19800) / 11
LCM(19789,19800) = 391822200 / 11
LCM(19789,19800) = 35620200

Least Common Multiple (LCM) of 19789 and 19800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19789 and 19800. First we will calculate the prime factors of 19789 and 19800.

Prime Factorization of 19789

Prime Factorization of 19800

Now multiplying the highest exponent prime factors to calculate the LCM of 19789 and 19800.

LCM(19789,19800) = 7¹ × 11¹ × 257¹ × 2³ × 3² × 5²
LCM(19789,19800) = 35620200