Least Common Multiple of 2341 and 2346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2341 and 2346 the smallest integer that is 5491986 that is divisible by both numbers.

Least Common Multiple (LCM) of 2341 and 2346 is 5491986.

LCM(2341,2346) = 5491986

LCM of 2341 and 2346

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

LCM of:
and

Least Common Multiple of 2341 and 2346

LCM of 2341 and 2346 is 5491986

Least common multiple can be found by multiplying the highest exponent prime factors of 2341 and 2346. First we will calculate the prime factors of 2341 and 2346.

Prime Factorization of 2341


2341 2341
1

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

2341 = 23411

Prime Factorization of 2346


2 2346
3 1173
17 391
23 23
1

Prime factors of 2346 are 2, 3, 17,23. Prime factorization of 2346 in exponential form is:

2346 = 21×31×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2341 and 2346.

LCM(2341,2346) = 21×31×171×231×23411
LCM(2341,2346) = 5491986

Factors of 2341

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

1, 2341

Factors of 2346

List of positive integer factors of 2346 that divides 2346 without a remainder.

1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346

Least Common Multiple of 2341 and 2346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2341 and 2346, than apply into the LCM equation.

GCF(2341,2346) = 1
LCM(2341,2346) = ( 2341 × 2346) / 1
LCM(2341,2346) = 5491986 / 1
LCM(2341,2346) = 5491986

Properties of LCM 2341 and 2346

(i) The LCM of 2346 and 2341 is associative

LCM of 2341 and 2346 = LCM of 2346 and 2341

Related Least Common Multiples of 2341

Related Least Common Multiples of 2346

Frequently Asked Questions on LCM of 2341 and 2346

1. What is the LCM of 2341 and 2346?

Answer: LCM of 2341 and 2346 is 5491986.

2. 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.

3. What are the Factors of 2346?

Answer: Factors of 2346 are 1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346. There are 16 integers that are factors of 2346. The greatest factor of 2346 is 2346.

4. How to Find the LCM of 2341 and 2346?

Answer:

Least Common Multiple of 2341 and 2346 = 5491986

Step 1: Find the prime factorization of 2341

2341 = 2341

Step 2: Find the prime factorization of 2346

2346 = 2 x 3 x 17 x 23

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

LCM = 5491986 = 2 x 3 x 17 x 23 x 2341

Step 4: Therefore, the least common multiple of 2341 and 2346 is 5491986.