What is the Least Common Multiple of 19809 and 19825?

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 19809 and 19825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19809 and 19825, than apply into the LCM equation.

GCF(19809,19825) = 1
LCM(19809,19825) = ( 19809 × 19825) / 1
LCM(19809,19825) = 392713425 / 1
LCM(19809,19825) = 392713425

Least Common Multiple (LCM) of 19809 and 19825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19809 and 19825. First we will calculate the prime factors of 19809 and 19825.

Prime Factorization of 19809

Prime Factorization of 19825

Now multiplying the highest exponent prime factors to calculate the LCM of 19809 and 19825.

LCM(19809,19825) = 3² × 31¹ × 71¹ × 5² × 13¹ × 61¹
LCM(19809,19825) = 392713425