What is the Least Common Multiple of 15834 and 15846?

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 15834 and 15846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15834 and 15846, than apply into the LCM equation.

GCF(15834,15846) = 6
LCM(15834,15846) = ( 15834 × 15846) / 6
LCM(15834,15846) = 250905564 / 6
LCM(15834,15846) = 41817594

Least Common Multiple (LCM) of 15834 and 15846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15834 and 15846. First we will calculate the prime factors of 15834 and 15846.

Prime Factorization of 15834

Prime Factorization of 15846

Now multiplying the highest exponent prime factors to calculate the LCM of 15834 and 15846.

LCM(15834,15846) = 2¹ × 3¹ × 7¹ × 13¹ × 29¹ × 19¹ × 139¹
LCM(15834,15846) = 41817594