What is the Least Common Multiple of 33144 and 33164?

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 33144 and 33164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33144 and 33164, than apply into the LCM equation.

GCF(33144,33164) = 4
LCM(33144,33164) = ( 33144 × 33164) / 4
LCM(33144,33164) = 1099187616 / 4
LCM(33144,33164) = 274796904

Least Common Multiple (LCM) of 33144 and 33164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33144 and 33164. First we will calculate the prime factors of 33144 and 33164.

Prime Factorization of 33144

Prime Factorization of 33164

Now multiplying the highest exponent prime factors to calculate the LCM of 33144 and 33164.

LCM(33144,33164) = 2³ × 3¹ × 1381¹ × 8291¹
LCM(33144,33164) = 274796904