What is the Least Common Multiple of 16126 and 16146?

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 16126 and 16146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16126 and 16146, than apply into the LCM equation.

GCF(16126,16146) = 2
LCM(16126,16146) = ( 16126 × 16146) / 2
LCM(16126,16146) = 260370396 / 2
LCM(16126,16146) = 130185198

Least Common Multiple (LCM) of 16126 and 16146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16126 and 16146. First we will calculate the prime factors of 16126 and 16146.

Prime Factorization of 16126

Prime Factorization of 16146

Now multiplying the highest exponent prime factors to calculate the LCM of 16126 and 16146.

LCM(16126,16146) = 2¹ × 11¹ × 733¹ × 3³ × 13¹ × 23¹
LCM(16126,16146) = 130185198