Least Common Multiple of 2335 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 2335 and 2340 the smallest integer that is 1092780 that is divisible by both numbers.

Least Common Multiple (LCM) of 2335 and 2340 is 1092780.

LCM(2335,2340) = 1092780

LCM of 2335 and 2340

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

LCM of:
and

Least Common Multiple of 2335 and 2340

LCM of 2335 and 2340 is 1092780

Least common multiple can be found by multiplying the highest exponent prime factors of 2335 and 2340. First we will calculate the prime factors of 2335 and 2340.

Prime Factorization of 2335


5 2335
467 467
1

Prime factors of 2335 are 5,467. Prime factorization of 2335 in exponential form is:

2335 = 51×4671

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 2335 and 2340.

LCM(2335,2340) = 22×32×51×131×4671
LCM(2335,2340) = 1092780

Factors of 2335

List of positive integer factors of 2335 that divides 2335 without a remainder.

1, 5, 467, 2335

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 2335 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 2335 and 2340, than apply into the LCM equation.

GCF(2335,2340) = 5
LCM(2335,2340) = ( 2335 × 2340) / 5
LCM(2335,2340) = 5463900 / 5
LCM(2335,2340) = 1092780

Properties of LCM 2335 and 2340

(i) The LCM of 2340 and 2335 is associative

LCM of 2335 and 2340 = LCM of 2340 and 2335

Related Least Common Multiples of 2335

Related Least Common Multiples of 2340

Frequently Asked Questions on LCM of 2335 and 2340

1. What is the LCM of 2335 and 2340?

Answer: LCM of 2335 and 2340 is 1092780.

2. What are the Factors of 2335?

Answer: Factors of 2335 are 1, 5, 467, 2335. There are 4 integers that are factors of 2335. The greatest factor of 2335 is 2335.

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 2335 and 2340?

Answer:

Least Common Multiple of 2335 and 2340 = 1092780

Step 1: Find the prime factorization of 2335

2335 = 5 x 467

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 = 1092780 = 2 x 2 x 3 x 3 x 5 x 13 x 467

Step 4: Therefore, the least common multiple of 2335 and 2340 is 1092780.