What is the Least Common Multiple of 15878 and 15887?

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 15878 and 15887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15878 and 15887, than apply into the LCM equation.

GCF(15878,15887) = 1
LCM(15878,15887) = ( 15878 × 15887) / 1
LCM(15878,15887) = 252253786 / 1
LCM(15878,15887) = 252253786

Least Common Multiple (LCM) of 15878 and 15887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15878 and 15887. First we will calculate the prime factors of 15878 and 15887.

Prime Factorization of 15878

Prime Factorization of 15887

Now multiplying the highest exponent prime factors to calculate the LCM of 15878 and 15887.

LCM(15878,15887) = 2¹ × 17¹ × 467¹ × 15887¹
LCM(15878,15887) = 252253786