Least Common Multiple of 2340 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 2340 and 2348 the smallest integer that is 1373580 that is divisible by both numbers.

Least Common Multiple (LCM) of 2340 and 2348 is 1373580.

LCM(2340,2348) = 1373580

LCM of 2340 and 2348

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

LCM of:
and

Least Common Multiple of 2340 and 2348

LCM of 2340 and 2348 is 1373580

Least common multiple can be found by multiplying the highest exponent prime factors of 2340 and 2348. First we will calculate the prime factors of 2340 and 2348.

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

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 2340 and 2348.

LCM(2340,2348) = 22×32×51×131×5871
LCM(2340,2348) = 1373580

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

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 2340 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 2340 and 2348, than apply into the LCM equation.

GCF(2340,2348) = 4
LCM(2340,2348) = ( 2340 × 2348) / 4
LCM(2340,2348) = 5494320 / 4
LCM(2340,2348) = 1373580

Properties of LCM 2340 and 2348

(i) The LCM of 2348 and 2340 is associative

LCM of 2340 and 2348 = LCM of 2348 and 2340

Related Least Common Multiples of 2340

Related Least Common Multiples of 2348

Frequently Asked Questions on LCM of 2340 and 2348

1. What is the LCM of 2340 and 2348?

Answer: LCM of 2340 and 2348 is 1373580.

2. 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.

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 2340 and 2348?

Answer:

Least Common Multiple of 2340 and 2348 = 1373580

Step 1: Find the prime factorization of 2340

2340 = 2 x 2 x 3 x 3 x 5 x 13

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 = 1373580 = 2 x 2 x 3 x 3 x 5 x 13 x 587

Step 4: Therefore, the least common multiple of 2340 and 2348 is 1373580.