What is the Least Common Multiple of 15810 and 15814?

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 15810 and 15814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15810 and 15814, than apply into the LCM equation.

GCF(15810,15814) = 2
LCM(15810,15814) = ( 15810 × 15814) / 2
LCM(15810,15814) = 250019340 / 2
LCM(15810,15814) = 125009670

Least Common Multiple (LCM) of 15810 and 15814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15810 and 15814. First we will calculate the prime factors of 15810 and 15814.

Prime Factorization of 15810

Prime Factorization of 15814

Now multiplying the highest exponent prime factors to calculate the LCM of 15810 and 15814.

LCM(15810,15814) = 2¹ × 3¹ × 5¹ × 17¹ × 31¹ × 7907¹
LCM(15810,15814) = 125009670