Least Common Multiple of 2336 and 2341

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 2341 the smallest integer that is 5468576 that is divisible by both numbers.

Least Common Multiple (LCM) of 2336 and 2341 is 5468576.

LCM(2336,2341) = 5468576

LCM of 2336 and 2341

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

LCM of:
and

Least Common Multiple of 2336 and 2341

LCM of 2336 and 2341 is 5468576

Least common multiple can be found by multiplying the highest exponent prime factors of 2336 and 2341. First we will calculate the prime factors of 2336 and 2341.

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 2341


2341 2341
1

Prime factors of 2341 are 2341. Prime factorization of 2341 in exponential form is:

2341 = 23411

Now multiplying the highest exponent prime factors to calculate the LCM of 2336 and 2341.

LCM(2336,2341) = 25×731×23411
LCM(2336,2341) = 5468576

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 2341

List of positive integer factors of 2341 that divides 2341 without a remainder.

1, 2341

Least Common Multiple of 2336 and 2341 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 2341, than apply into the LCM equation.

GCF(2336,2341) = 1
LCM(2336,2341) = ( 2336 × 2341) / 1
LCM(2336,2341) = 5468576 / 1
LCM(2336,2341) = 5468576

Properties of LCM 2336 and 2341

(i) The LCM of 2341 and 2336 is associative

LCM of 2336 and 2341 = LCM of 2341 and 2336

Related Least Common Multiples of 2336

Related Least Common Multiples of 2341

Frequently Asked Questions on LCM of 2336 and 2341

1. What is the LCM of 2336 and 2341?

Answer: LCM of 2336 and 2341 is 5468576.

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 2341?

Answer: Factors of 2341 are 1, 2341. There are 2 integers that are factors of 2341. The greatest factor of 2341 is 2341.

4. How to Find the LCM of 2336 and 2341?

Answer:

Least Common Multiple of 2336 and 2341 = 5468576

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 2341

2341 = 2341

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

LCM = 5468576 = 2 x 2 x 2 x 2 x 2 x 73 x 2341

Step 4: Therefore, the least common multiple of 2336 and 2341 is 5468576.