What is the Least Common Multiple of 33164 and 33177?

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 33164 and 33177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33164 and 33177, than apply into the LCM equation.

GCF(33164,33177) = 1
LCM(33164,33177) = ( 33164 × 33177) / 1
LCM(33164,33177) = 1100282028 / 1
LCM(33164,33177) = 1100282028

Least Common Multiple (LCM) of 33164 and 33177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33164 and 33177. First we will calculate the prime factors of 33164 and 33177.

Prime Factorization of 33164

Prime Factorization of 33177

Now multiplying the highest exponent prime factors to calculate the LCM of 33164 and 33177.

LCM(33164,33177) = 2² × 8291¹ × 3¹ × 11059¹
LCM(33164,33177) = 1100282028