What is the Least Common Multiple of 33168 and 33179?

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 33168 and 33179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33168 and 33179, than apply into the LCM equation.

GCF(33168,33179) = 1
LCM(33168,33179) = ( 33168 × 33179) / 1
LCM(33168,33179) = 1100481072 / 1
LCM(33168,33179) = 1100481072

Least Common Multiple (LCM) of 33168 and 33179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33168 and 33179. First we will calculate the prime factors of 33168 and 33179.

Prime Factorization of 33168

Prime Factorization of 33179

Now multiplying the highest exponent prime factors to calculate the LCM of 33168 and 33179.

LCM(33168,33179) = 2⁴ × 3¹ × 691¹ × 33179¹
LCM(33168,33179) = 1100481072