What is the Least Common Multiple of 33126 and 33146?

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 33126 and 33146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33126 and 33146, than apply into the LCM equation.

GCF(33126,33146) = 2
LCM(33126,33146) = ( 33126 × 33146) / 2
LCM(33126,33146) = 1097994396 / 2
LCM(33126,33146) = 548997198

Least Common Multiple (LCM) of 33126 and 33146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33126 and 33146. First we will calculate the prime factors of 33126 and 33146.

Prime Factorization of 33126

Prime Factorization of 33146

Now multiplying the highest exponent prime factors to calculate the LCM of 33126 and 33146.

LCM(33126,33146) = 2¹ × 3¹ × 5521¹ × 16573¹
LCM(33126,33146) = 548997198