Least Common Multiple of 2329 and 2333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2329 and 2333 the smallest integer that is 5433557 that is divisible by both numbers.

Least Common Multiple (LCM) of 2329 and 2333 is 5433557.

LCM(2329,2333) = 5433557

LCM of 2329 and 2333

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2329 and 2333

LCM of 2329 and 2333 is 5433557

Least common multiple can be found by multiplying the highest exponent prime factors of 2329 and 2333. First we will calculate the prime factors of 2329 and 2333.

Prime Factorization of 2329


17 2329
137 137
1

Prime factors of 2329 are 17,137. Prime factorization of 2329 in exponential form is:

2329 = 171×1371

Prime Factorization of 2333


2333 2333
1

Prime factors of 2333 are 2333. Prime factorization of 2333 in exponential form is:

2333 = 23331

Now multiplying the highest exponent prime factors to calculate the LCM of 2329 and 2333.

LCM(2329,2333) = 171×1371×23331
LCM(2329,2333) = 5433557

Factors of 2329

List of positive integer factors of 2329 that divides 2329 without a remainder.

1, 17, 137, 2329

Factors of 2333

List of positive integer factors of 2333 that divides 2333 without a remainder.

1, 2333

Least Common Multiple of 2329 and 2333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2329 and 2333, than apply into the LCM equation.

GCF(2329,2333) = 1
LCM(2329,2333) = ( 2329 × 2333) / 1
LCM(2329,2333) = 5433557 / 1
LCM(2329,2333) = 5433557

Properties of LCM 2329 and 2333

(i) The LCM of 2333 and 2329 is associative

LCM of 2329 and 2333 = LCM of 2333 and 2329

Related Least Common Multiples of 2329

Related Least Common Multiples of 2333

Frequently Asked Questions on LCM of 2329 and 2333

1. What is the LCM of 2329 and 2333?

Answer: LCM of 2329 and 2333 is 5433557.

2. What are the Factors of 2329?

Answer: Factors of 2329 are 1, 17, 137, 2329. There are 4 integers that are factors of 2329. The greatest factor of 2329 is 2329.

3. What are the Factors of 2333?

Answer: Factors of 2333 are 1, 2333. There are 2 integers that are factors of 2333. The greatest factor of 2333 is 2333.

4. How to Find the LCM of 2329 and 2333?

Answer:

Least Common Multiple of 2329 and 2333 = 5433557

Step 1: Find the prime factorization of 2329

2329 = 17 x 137

Step 2: Find the prime factorization of 2333

2333 = 2333

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 5433557 = 17 x 137 x 2333

Step 4: Therefore, the least common multiple of 2329 and 2333 is 5433557.