What is the Least Common Multiple of 33388 and 33402?

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 33388 and 33402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33388 and 33402, than apply into the LCM equation.

GCF(33388,33402) = 2
LCM(33388,33402) = ( 33388 × 33402) / 2
LCM(33388,33402) = 1115225976 / 2
LCM(33388,33402) = 557612988

Least Common Multiple (LCM) of 33388 and 33402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33388 and 33402. First we will calculate the prime factors of 33388 and 33402.

Prime Factorization of 33388

Prime Factorization of 33402

Now multiplying the highest exponent prime factors to calculate the LCM of 33388 and 33402.

LCM(33388,33402) = 2² × 17¹ × 491¹ × 3¹ × 19¹ × 293¹
LCM(33388,33402) = 557612988