What is the Least Common Multiple of 15585 and 15596?

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 15585 and 15596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15585 and 15596, than apply into the LCM equation.

GCF(15585,15596) = 1
LCM(15585,15596) = ( 15585 × 15596) / 1
LCM(15585,15596) = 243063660 / 1
LCM(15585,15596) = 243063660

Least Common Multiple (LCM) of 15585 and 15596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15585 and 15596. First we will calculate the prime factors of 15585 and 15596.

Prime Factorization of 15585

Prime Factorization of 15596

Now multiplying the highest exponent prime factors to calculate the LCM of 15585 and 15596.

LCM(15585,15596) = 3¹ × 5¹ × 1039¹ × 2² × 7¹ × 557¹
LCM(15585,15596) = 243063660