Least Common Multiple of 2434 and 2438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2434 and 2438 the smallest integer that is 2967046 that is divisible by both numbers.

Least Common Multiple (LCM) of 2434 and 2438 is 2967046.

LCM(2434,2438) = 2967046

LCM of 2434 and 2438

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

LCM of:
and

Least Common Multiple of 2434 and 2438

LCM of 2434 and 2438 is 2967046

Least common multiple can be found by multiplying the highest exponent prime factors of 2434 and 2438. First we will calculate the prime factors of 2434 and 2438.

Prime Factorization of 2434


2 2434
1217 1217
1

Prime factors of 2434 are 2,1217. Prime factorization of 2434 in exponential form is:

2434 = 21×12171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2434 and 2438.

LCM(2434,2438) = 21×231×531×12171
LCM(2434,2438) = 2967046

Factors of 2434

List of positive integer factors of 2434 that divides 2434 without a remainder.

1, 2, 1217, 2434

Factors of 2438

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

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

Least Common Multiple of 2434 and 2438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2434 and 2438, than apply into the LCM equation.

GCF(2434,2438) = 2
LCM(2434,2438) = ( 2434 × 2438) / 2
LCM(2434,2438) = 5934092 / 2
LCM(2434,2438) = 2967046

Properties of LCM 2434 and 2438

(i) The LCM of 2438 and 2434 is associative

LCM of 2434 and 2438 = LCM of 2438 and 2434

Related Least Common Multiples of 2434

Related Least Common Multiples of 2438

Frequently Asked Questions on LCM of 2434 and 2438

1. What is the LCM of 2434 and 2438?

Answer: LCM of 2434 and 2438 is 2967046.

2. What are the Factors of 2434?

Answer: Factors of 2434 are 1, 2, 1217, 2434. There are 4 integers that are factors of 2434. The greatest factor of 2434 is 2434.

3. 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.

4. How to Find the LCM of 2434 and 2438?

Answer:

Least Common Multiple of 2434 and 2438 = 2967046

Step 1: Find the prime factorization of 2434

2434 = 2 x 1217

Step 2: Find the prime factorization of 2438

2438 = 2 x 23 x 53

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

LCM = 2967046 = 2 x 23 x 53 x 1217

Step 4: Therefore, the least common multiple of 2434 and 2438 is 2967046.