Least Common Multiple of 2324 and 2329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2324 and 2329 the smallest integer that is 5412596 that is divisible by both numbers.

Least Common Multiple (LCM) of 2324 and 2329 is 5412596.

LCM(2324,2329) = 5412596

LCM of 2324 and 2329

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

LCM of:
and

Least Common Multiple of 2324 and 2329

LCM of 2324 and 2329 is 5412596

Least common multiple can be found by multiplying the highest exponent prime factors of 2324 and 2329. First we will calculate the prime factors of 2324 and 2329.

Prime Factorization of 2324


2 2324
2 1162
7 581
83 83
1

Prime factors of 2324 are 2, 7,83. Prime factorization of 2324 in exponential form is:

2324 = 22×71×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2324 and 2329.

LCM(2324,2329) = 22×71×171×831×1371
LCM(2324,2329) = 5412596

Factors of 2324

List of positive integer factors of 2324 that divides 2324 without a remainder.

1, 2, 4, 7, 14, 28, 83, 166, 332, 581, 1162, 2324

Factors of 2329

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

1, 17, 137, 2329

Least Common Multiple of 2324 and 2329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2324 and 2329, than apply into the LCM equation.

GCF(2324,2329) = 1
LCM(2324,2329) = ( 2324 × 2329) / 1
LCM(2324,2329) = 5412596 / 1
LCM(2324,2329) = 5412596

Properties of LCM 2324 and 2329

(i) The LCM of 2329 and 2324 is associative

LCM of 2324 and 2329 = LCM of 2329 and 2324

Related Least Common Multiples of 2324

Related Least Common Multiples of 2329

Frequently Asked Questions on LCM of 2324 and 2329

1. What is the LCM of 2324 and 2329?

Answer: LCM of 2324 and 2329 is 5412596.

2. What are the Factors of 2324?

Answer: Factors of 2324 are 1, 2, 4, 7, 14, 28, 83, 166, 332, 581, 1162, 2324. There are 12 integers that are factors of 2324. The greatest factor of 2324 is 2324.

3. 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.

4. How to Find the LCM of 2324 and 2329?

Answer:

Least Common Multiple of 2324 and 2329 = 5412596

Step 1: Find the prime factorization of 2324

2324 = 2 x 2 x 7 x 83

Step 2: Find the prime factorization of 2329

2329 = 17 x 137

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

LCM = 5412596 = 2 x 2 x 7 x 17 x 83 x 137

Step 4: Therefore, the least common multiple of 2324 and 2329 is 5412596.