What is the Least Common Multiple of 15814 and 15834?

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 15814 and 15834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15814 and 15834, than apply into the LCM equation.

GCF(15814,15834) = 2
LCM(15814,15834) = ( 15814 × 15834) / 2
LCM(15814,15834) = 250398876 / 2
LCM(15814,15834) = 125199438

Least Common Multiple (LCM) of 15814 and 15834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15814 and 15834. First we will calculate the prime factors of 15814 and 15834.

Prime Factorization of 15814

Prime Factorization of 15834

Now multiplying the highest exponent prime factors to calculate the LCM of 15814 and 15834.

LCM(15814,15834) = 2¹ × 7907¹ × 3¹ × 7¹ × 13¹ × 29¹
LCM(15814,15834) = 125199438