Least Common Multiple of 2329 and 2336

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 2336 the smallest integer that is 5440544 that is divisible by both numbers.

Least Common Multiple (LCM) of 2329 and 2336 is 5440544.

LCM(2329,2336) = 5440544

LCM of 2329 and 2336

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

LCM of:
and

Least Common Multiple of 2329 and 2336

LCM of 2329 and 2336 is 5440544

Least common multiple can be found by multiplying the highest exponent prime factors of 2329 and 2336. First we will calculate the prime factors of 2329 and 2336.

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 2336


2 2336
2 1168
2 584
2 292
2 146
73 73
1

Prime factors of 2336 are 2,73. Prime factorization of 2336 in exponential form is:

2336 = 25×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2329 and 2336.

LCM(2329,2336) = 25×171×731×1371
LCM(2329,2336) = 5440544

Factors of 2329

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

1, 17, 137, 2329

Factors of 2336

List of positive integer factors of 2336 that divides 2336 without a remainder.

1, 2, 4, 8, 16, 32, 73, 146, 292, 584, 1168, 2336

Least Common Multiple of 2329 and 2336 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 2336, than apply into the LCM equation.

GCF(2329,2336) = 1
LCM(2329,2336) = ( 2329 × 2336) / 1
LCM(2329,2336) = 5440544 / 1
LCM(2329,2336) = 5440544

Properties of LCM 2329 and 2336

(i) The LCM of 2336 and 2329 is associative

LCM of 2329 and 2336 = LCM of 2336 and 2329

Related Least Common Multiples of 2329

Related Least Common Multiples of 2336

Frequently Asked Questions on LCM of 2329 and 2336

1. What is the LCM of 2329 and 2336?

Answer: LCM of 2329 and 2336 is 5440544.

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 2336?

Answer: Factors of 2336 are 1, 2, 4, 8, 16, 32, 73, 146, 292, 584, 1168, 2336. There are 12 integers that are factors of 2336. The greatest factor of 2336 is 2336.

4. How to Find the LCM of 2329 and 2336?

Answer:

Least Common Multiple of 2329 and 2336 = 5440544

Step 1: Find the prime factorization of 2329

2329 = 17 x 137

Step 2: Find the prime factorization of 2336

2336 = 2 x 2 x 2 x 2 x 2 x 73

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

LCM = 5440544 = 2 x 2 x 2 x 2 x 2 x 17 x 73 x 137

Step 4: Therefore, the least common multiple of 2329 and 2336 is 5440544.