Least Common Multiple of 2341 and 2347

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 2347 the smallest integer that is 5494327 that is divisible by both numbers.

Least Common Multiple (LCM) of 2341 and 2347 is 5494327.

LCM(2341,2347) = 5494327

LCM of 2341 and 2347

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

LCM of:
and

Least Common Multiple of 2341 and 2347

LCM of 2341 and 2347 is 5494327

Least common multiple can be found by multiplying the highest exponent prime factors of 2341 and 2347. First we will calculate the prime factors of 2341 and 2347.

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 2347


2347 2347
1

Prime factors of 2347 are 2347. Prime factorization of 2347 in exponential form is:

2347 = 23471

Now multiplying the highest exponent prime factors to calculate the LCM of 2341 and 2347.

LCM(2341,2347) = 23411×23471
LCM(2341,2347) = 5494327

Factors of 2341

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

1, 2341

Factors of 2347

List of positive integer factors of 2347 that divides 2347 without a remainder.

1, 2347

Least Common Multiple of 2341 and 2347 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 2347, than apply into the LCM equation.

GCF(2341,2347) = 1
LCM(2341,2347) = ( 2341 × 2347) / 1
LCM(2341,2347) = 5494327 / 1
LCM(2341,2347) = 5494327

Properties of LCM 2341 and 2347

(i) The LCM of 2347 and 2341 is associative

LCM of 2341 and 2347 = LCM of 2347 and 2341

Related Least Common Multiples of 2341

Related Least Common Multiples of 2347

Frequently Asked Questions on LCM of 2341 and 2347

1. What is the LCM of 2341 and 2347?

Answer: LCM of 2341 and 2347 is 5494327.

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 2347?

Answer: Factors of 2347 are 1, 2347. There are 2 integers that are factors of 2347. The greatest factor of 2347 is 2347.

4. How to Find the LCM of 2341 and 2347?

Answer:

Least Common Multiple of 2341 and 2347 = 5494327

Step 1: Find the prime factorization of 2341

2341 = 2341

Step 2: Find the prime factorization of 2347

2347 = 2347

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

LCM = 5494327 = 2341 x 2347

Step 4: Therefore, the least common multiple of 2341 and 2347 is 5494327.