What is the Least Common Multiple of 15809 and 15827?

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 15809 and 15827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15809 and 15827, than apply into the LCM equation.

GCF(15809,15827) = 1
LCM(15809,15827) = ( 15809 × 15827) / 1
LCM(15809,15827) = 250209043 / 1
LCM(15809,15827) = 250209043

Least Common Multiple (LCM) of 15809 and 15827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15809 and 15827. First we will calculate the prime factors of 15809 and 15827.

Prime Factorization of 15809

Prime Factorization of 15827

Now multiplying the highest exponent prime factors to calculate the LCM of 15809 and 15827.

LCM(15809,15827) = 15809¹ × 7² × 17¹ × 19¹
LCM(15809,15827) = 250209043