Least Common Multiple of 2329 and 2335

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 2335 the smallest integer that is 5438215 that is divisible by both numbers.

Least Common Multiple (LCM) of 2329 and 2335 is 5438215.

LCM(2329,2335) = 5438215

LCM of 2329 and 2335

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

LCM of:
and

Least Common Multiple of 2329 and 2335

LCM of 2329 and 2335 is 5438215

Least common multiple can be found by multiplying the highest exponent prime factors of 2329 and 2335. First we will calculate the prime factors of 2329 and 2335.

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 2335


5 2335
467 467
1

Prime factors of 2335 are 5,467. Prime factorization of 2335 in exponential form is:

2335 = 51×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 2329 and 2335.

LCM(2329,2335) = 51×171×1371×4671
LCM(2329,2335) = 5438215

Factors of 2329

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

1, 17, 137, 2329

Factors of 2335

List of positive integer factors of 2335 that divides 2335 without a remainder.

1, 5, 467, 2335

Least Common Multiple of 2329 and 2335 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 2335, than apply into the LCM equation.

GCF(2329,2335) = 1
LCM(2329,2335) = ( 2329 × 2335) / 1
LCM(2329,2335) = 5438215 / 1
LCM(2329,2335) = 5438215

Properties of LCM 2329 and 2335

(i) The LCM of 2335 and 2329 is associative

LCM of 2329 and 2335 = LCM of 2335 and 2329

Related Least Common Multiples of 2329

Related Least Common Multiples of 2335

Frequently Asked Questions on LCM of 2329 and 2335

1. What is the LCM of 2329 and 2335?

Answer: LCM of 2329 and 2335 is 5438215.

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 2335?

Answer: Factors of 2335 are 1, 5, 467, 2335. There are 4 integers that are factors of 2335. The greatest factor of 2335 is 2335.

4. How to Find the LCM of 2329 and 2335?

Answer:

Least Common Multiple of 2329 and 2335 = 5438215

Step 1: Find the prime factorization of 2329

2329 = 17 x 137

Step 2: Find the prime factorization of 2335

2335 = 5 x 467

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

LCM = 5438215 = 5 x 17 x 137 x 467

Step 4: Therefore, the least common multiple of 2329 and 2335 is 5438215.