Least Common Multiple of 2336 and 2340

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 2340 the smallest integer that is 1366560 that is divisible by both numbers.

Least Common Multiple (LCM) of 2336 and 2340 is 1366560.

LCM(2336,2340) = 1366560

LCM of 2336 and 2340

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

LCM of:
and

Least Common Multiple of 2336 and 2340

LCM of 2336 and 2340 is 1366560

Least common multiple can be found by multiplying the highest exponent prime factors of 2336 and 2340. First we will calculate the prime factors of 2336 and 2340.

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 2340


2 2340
2 1170
3 585
3 195
5 65
13 13
1

Prime factors of 2340 are 2, 3, 5,13. Prime factorization of 2340 in exponential form is:

2340 = 22×32×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2336 and 2340.

LCM(2336,2340) = 25×32×51×131×731
LCM(2336,2340) = 1366560

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 2340

List of positive integer factors of 2340 that divides 2340 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340

Least Common Multiple of 2336 and 2340 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 2340, than apply into the LCM equation.

GCF(2336,2340) = 4
LCM(2336,2340) = ( 2336 × 2340) / 4
LCM(2336,2340) = 5466240 / 4
LCM(2336,2340) = 1366560

Properties of LCM 2336 and 2340

(i) The LCM of 2340 and 2336 is associative

LCM of 2336 and 2340 = LCM of 2340 and 2336

Related Least Common Multiples of 2336

Related Least Common Multiples of 2340

Frequently Asked Questions on LCM of 2336 and 2340

1. What is the LCM of 2336 and 2340?

Answer: LCM of 2336 and 2340 is 1366560.

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 2340?

Answer: Factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340. There are 36 integers that are factors of 2340. The greatest factor of 2340 is 2340.

4. How to Find the LCM of 2336 and 2340?

Answer:

Least Common Multiple of 2336 and 2340 = 1366560

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 2340

2340 = 2 x 2 x 3 x 3 x 5 x 13

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

LCM = 1366560 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 73

Step 4: Therefore, the least common multiple of 2336 and 2340 is 1366560.