What is the Least Common Multiple of 12126 and 12133?

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 12126 and 12133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12126 and 12133, than apply into the LCM equation.

GCF(12126,12133) = 1
LCM(12126,12133) = ( 12126 × 12133) / 1
LCM(12126,12133) = 147124758 / 1
LCM(12126,12133) = 147124758

Least Common Multiple (LCM) of 12126 and 12133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12126 and 12133. First we will calculate the prime factors of 12126 and 12133.

Prime Factorization of 12126

Prime Factorization of 12133

Now multiplying the highest exponent prime factors to calculate the LCM of 12126 and 12133.

LCM(12126,12133) = 2¹ × 3¹ × 43¹ × 47¹ × 11¹ × 1103¹
LCM(12126,12133) = 147124758