Least Common Multiple of 2343 and 2348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2343 and 2348 the smallest integer that is 5501364 that is divisible by both numbers.

Least Common Multiple (LCM) of 2343 and 2348 is 5501364.

LCM(2343,2348) = 5501364

LCM of 2343 and 2348

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

LCM of:
and

Least Common Multiple of 2343 and 2348

LCM of 2343 and 2348 is 5501364

Least common multiple can be found by multiplying the highest exponent prime factors of 2343 and 2348. First we will calculate the prime factors of 2343 and 2348.

Prime Factorization of 2343


3 2343
11 781
71 71
1

Prime factors of 2343 are 3, 11,71. Prime factorization of 2343 in exponential form is:

2343 = 31×111×711

Prime Factorization of 2348


2 2348
2 1174
587 587
1

Prime factors of 2348 are 2,587. Prime factorization of 2348 in exponential form is:

2348 = 22×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 2343 and 2348.

LCM(2343,2348) = 22×31×111×711×5871
LCM(2343,2348) = 5501364

Factors of 2343

List of positive integer factors of 2343 that divides 2343 without a remainder.

1, 3, 11, 33, 71, 213, 781, 2343

Factors of 2348

List of positive integer factors of 2348 that divides 2348 without a remainder.

1, 2, 4, 587, 1174, 2348

Least Common Multiple of 2343 and 2348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2343 and 2348, than apply into the LCM equation.

GCF(2343,2348) = 1
LCM(2343,2348) = ( 2343 × 2348) / 1
LCM(2343,2348) = 5501364 / 1
LCM(2343,2348) = 5501364

Properties of LCM 2343 and 2348

(i) The LCM of 2348 and 2343 is associative

LCM of 2343 and 2348 = LCM of 2348 and 2343

Related Least Common Multiples of 2343

Related Least Common Multiples of 2348

Frequently Asked Questions on LCM of 2343 and 2348

1. What is the LCM of 2343 and 2348?

Answer: LCM of 2343 and 2348 is 5501364.

2. What are the Factors of 2343?

Answer: Factors of 2343 are 1, 3, 11, 33, 71, 213, 781, 2343. There are 8 integers that are factors of 2343. The greatest factor of 2343 is 2343.

3. What are the Factors of 2348?

Answer: Factors of 2348 are 1, 2, 4, 587, 1174, 2348. There are 6 integers that are factors of 2348. The greatest factor of 2348 is 2348.

4. How to Find the LCM of 2343 and 2348?

Answer:

Least Common Multiple of 2343 and 2348 = 5501364

Step 1: Find the prime factorization of 2343

2343 = 3 x 11 x 71

Step 2: Find the prime factorization of 2348

2348 = 2 x 2 x 587

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

LCM = 5501364 = 2 x 2 x 3 x 11 x 71 x 587

Step 4: Therefore, the least common multiple of 2343 and 2348 is 5501364.