Least Common Multiple of 2335 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 2335 and 2341 the smallest integer that is 5466235 that is divisible by both numbers.

Least Common Multiple (LCM) of 2335 and 2341 is 5466235.

LCM(2335,2341) = 5466235

LCM of 2335 and 2341

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

LCM of:
and

Least Common Multiple of 2335 and 2341

LCM of 2335 and 2341 is 5466235

Least common multiple can be found by multiplying the highest exponent prime factors of 2335 and 2341. First we will calculate the prime factors of 2335 and 2341.

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 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 2335 and 2341.

LCM(2335,2341) = 51×4671×23411
LCM(2335,2341) = 5466235

Factors of 2335

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

1, 5, 467, 2335

Factors of 2341

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

1, 2341

Least Common Multiple of 2335 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 2335 and 2341, than apply into the LCM equation.

GCF(2335,2341) = 1
LCM(2335,2341) = ( 2335 × 2341) / 1
LCM(2335,2341) = 5466235 / 1
LCM(2335,2341) = 5466235

Properties of LCM 2335 and 2341

(i) The LCM of 2341 and 2335 is associative

LCM of 2335 and 2341 = LCM of 2341 and 2335

Related Least Common Multiples of 2335

Related Least Common Multiples of 2341

Frequently Asked Questions on LCM of 2335 and 2341

1. What is the LCM of 2335 and 2341?

Answer: LCM of 2335 and 2341 is 5466235.

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 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 2335 and 2341?

Answer:

Least Common Multiple of 2335 and 2341 = 5466235

Step 1: Find the prime factorization of 2335

2335 = 5 x 467

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 = 5466235 = 5 x 467 x 2341

Step 4: Therefore, the least common multiple of 2335 and 2341 is 5466235.