What is the Least Common Multiple of 33585 and 33602?

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 33585 and 33602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33585 and 33602, than apply into the LCM equation.

GCF(33585,33602) = 1
LCM(33585,33602) = ( 33585 × 33602) / 1
LCM(33585,33602) = 1128523170 / 1
LCM(33585,33602) = 1128523170

Least Common Multiple (LCM) of 33585 and 33602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33585 and 33602. First we will calculate the prime factors of 33585 and 33602.

Prime Factorization of 33585

Prime Factorization of 33602

Now multiplying the highest exponent prime factors to calculate the LCM of 33585 and 33602.

LCM(33585,33602) = 3¹ × 5¹ × 2239¹ × 2¹ × 53¹ × 317¹
LCM(33585,33602) = 1128523170