Least Common Multiple of 2336 and 2344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2336 and 2344 the smallest integer that is 684448 that is divisible by both numbers.

Least Common Multiple (LCM) of 2336 and 2344 is 684448.

LCM(2336,2344) = 684448

LCM of 2336 and 2344

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

LCM of:
and

Least Common Multiple of 2336 and 2344

LCM of 2336 and 2344 is 684448

Least common multiple can be found by multiplying the highest exponent prime factors of 2336 and 2344. First we will calculate the prime factors of 2336 and 2344.

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

Prime Factorization of 2344


2 2344
2 1172
2 586
293 293
1

Prime factors of 2344 are 2,293. Prime factorization of 2344 in exponential form is:

2344 = 23×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 2336 and 2344.

LCM(2336,2344) = 25×731×2931
LCM(2336,2344) = 684448

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

Factors of 2344

List of positive integer factors of 2344 that divides 2344 without a remainder.

1, 2, 4, 8, 293, 586, 1172, 2344

Least Common Multiple of 2336 and 2344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2336 and 2344, than apply into the LCM equation.

GCF(2336,2344) = 8
LCM(2336,2344) = ( 2336 × 2344) / 8
LCM(2336,2344) = 5475584 / 8
LCM(2336,2344) = 684448

Properties of LCM 2336 and 2344

(i) The LCM of 2344 and 2336 is associative

LCM of 2336 and 2344 = LCM of 2344 and 2336

Related Least Common Multiples of 2336

Related Least Common Multiples of 2344

Frequently Asked Questions on LCM of 2336 and 2344

1. What is the LCM of 2336 and 2344?

Answer: LCM of 2336 and 2344 is 684448.

2. 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.

3. What are the Factors of 2344?

Answer: Factors of 2344 are 1, 2, 4, 8, 293, 586, 1172, 2344. There are 8 integers that are factors of 2344. The greatest factor of 2344 is 2344.

4. How to Find the LCM of 2336 and 2344?

Answer:

Least Common Multiple of 2336 and 2344 = 684448

Step 1: Find the prime factorization of 2336

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

Step 2: Find the prime factorization of 2344

2344 = 2 x 2 x 2 x 293

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

LCM = 684448 = 2 x 2 x 2 x 2 x 2 x 73 x 293

Step 4: Therefore, the least common multiple of 2336 and 2344 is 684448.