What is the Least Common Multiple of 9126 and 9141?

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 9126 and 9141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9126 and 9141, than apply into the LCM equation.

GCF(9126,9141) = 3
LCM(9126,9141) = ( 9126 × 9141) / 3
LCM(9126,9141) = 83420766 / 3
LCM(9126,9141) = 27806922

Least Common Multiple (LCM) of 9126 and 9141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9126 and 9141. First we will calculate the prime factors of 9126 and 9141.

Prime Factorization of 9126

Prime Factorization of 9141

Now multiplying the highest exponent prime factors to calculate the LCM of 9126 and 9141.

LCM(9126,9141) = 2¹ × 3³ × 13² × 11¹ × 277¹
LCM(9126,9141) = 27806922