Least Common Multiple of 2438 and 2443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2438 and 2443 the smallest integer that is 5956034 that is divisible by both numbers.

Least Common Multiple (LCM) of 2438 and 2443 is 5956034.

LCM(2438,2443) = 5956034

LCM of 2438 and 2443

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

LCM of:
and

Least Common Multiple of 2438 and 2443

LCM of 2438 and 2443 is 5956034

Least common multiple can be found by multiplying the highest exponent prime factors of 2438 and 2443. First we will calculate the prime factors of 2438 and 2443.

Prime Factorization of 2438


2 2438
23 1219
53 53
1

Prime factors of 2438 are 2, 23,53. Prime factorization of 2438 in exponential form is:

2438 = 21×231×531

Prime Factorization of 2443


7 2443
349 349
1

Prime factors of 2443 are 7,349. Prime factorization of 2443 in exponential form is:

2443 = 71×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 2438 and 2443.

LCM(2438,2443) = 21×71×231×531×3491
LCM(2438,2443) = 5956034

Factors of 2438

List of positive integer factors of 2438 that divides 2438 without a remainder.

1, 2, 23, 46, 53, 106, 1219, 2438

Factors of 2443

List of positive integer factors of 2443 that divides 2443 without a remainder.

1, 7, 349, 2443

Least Common Multiple of 2438 and 2443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2438 and 2443, than apply into the LCM equation.

GCF(2438,2443) = 1
LCM(2438,2443) = ( 2438 × 2443) / 1
LCM(2438,2443) = 5956034 / 1
LCM(2438,2443) = 5956034

Properties of LCM 2438 and 2443

(i) The LCM of 2443 and 2438 is associative

LCM of 2438 and 2443 = LCM of 2443 and 2438

Related Least Common Multiples of 2438

Related Least Common Multiples of 2443

Frequently Asked Questions on LCM of 2438 and 2443

1. What is the LCM of 2438 and 2443?

Answer: LCM of 2438 and 2443 is 5956034.

2. What are the Factors of 2438?

Answer: Factors of 2438 are 1, 2, 23, 46, 53, 106, 1219, 2438. There are 8 integers that are factors of 2438. The greatest factor of 2438 is 2438.

3. What are the Factors of 2443?

Answer: Factors of 2443 are 1, 7, 349, 2443. There are 4 integers that are factors of 2443. The greatest factor of 2443 is 2443.

4. How to Find the LCM of 2438 and 2443?

Answer:

Least Common Multiple of 2438 and 2443 = 5956034

Step 1: Find the prime factorization of 2438

2438 = 2 x 23 x 53

Step 2: Find the prime factorization of 2443

2443 = 7 x 349

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

LCM = 5956034 = 2 x 7 x 23 x 53 x 349

Step 4: Therefore, the least common multiple of 2438 and 2443 is 5956034.