What is the Least Common Multiple of 19801 and 19809?

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 19801 and 19809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19801 and 19809, than apply into the LCM equation.

GCF(19801,19809) = 1
LCM(19801,19809) = ( 19801 × 19809) / 1
LCM(19801,19809) = 392238009 / 1
LCM(19801,19809) = 392238009

Least Common Multiple (LCM) of 19801 and 19809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19801 and 19809. First we will calculate the prime factors of 19801 and 19809.

Prime Factorization of 19801

Prime Factorization of 19809

Now multiplying the highest exponent prime factors to calculate the LCM of 19801 and 19809.

LCM(19801,19809) = 19801¹ × 3² × 31¹ × 71¹
LCM(19801,19809) = 392238009