What is the Least Common Multiple of 33507 and 33522?

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 33507 and 33522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33507 and 33522, than apply into the LCM equation.

GCF(33507,33522) = 3
LCM(33507,33522) = ( 33507 × 33522) / 3
LCM(33507,33522) = 1123221654 / 3
LCM(33507,33522) = 374407218

Least Common Multiple (LCM) of 33507 and 33522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33507 and 33522. First we will calculate the prime factors of 33507 and 33522.

Prime Factorization of 33507

Prime Factorization of 33522

Now multiplying the highest exponent prime factors to calculate the LCM of 33507 and 33522.

LCM(33507,33522) = 3³ × 17¹ × 73¹ × 2¹ × 37¹ × 151¹
LCM(33507,33522) = 374407218