What is the Least Common Multiple of 15586 and 15600?

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 15586 and 15600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15586 and 15600, than apply into the LCM equation.

GCF(15586,15600) = 2
LCM(15586,15600) = ( 15586 × 15600) / 2
LCM(15586,15600) = 243141600 / 2
LCM(15586,15600) = 121570800

Least Common Multiple (LCM) of 15586 and 15600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15586 and 15600. First we will calculate the prime factors of 15586 and 15600.

Prime Factorization of 15586

Prime Factorization of 15600

Now multiplying the highest exponent prime factors to calculate the LCM of 15586 and 15600.

LCM(15586,15600) = 2⁴ × 7793¹ × 3¹ × 5² × 13¹
LCM(15586,15600) = 121570800