Least Common Multiple of 2428 and 2431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2428 and 2431 the smallest integer that is 5902468 that is divisible by both numbers.

Least Common Multiple (LCM) of 2428 and 2431 is 5902468.

LCM(2428,2431) = 5902468

LCM of 2428 and 2431

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

LCM of:
and

Least Common Multiple of 2428 and 2431

LCM of 2428 and 2431 is 5902468

Least common multiple can be found by multiplying the highest exponent prime factors of 2428 and 2431. First we will calculate the prime factors of 2428 and 2431.

Prime Factorization of 2428


2 2428
2 1214
607 607
1

Prime factors of 2428 are 2,607. Prime factorization of 2428 in exponential form is:

2428 = 22×6071

Prime Factorization of 2431


11 2431
13 221
17 17
1

Prime factors of 2431 are 11, 13,17. Prime factorization of 2431 in exponential form is:

2431 = 111×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2428 and 2431.

LCM(2428,2431) = 22×111×131×171×6071
LCM(2428,2431) = 5902468

Factors of 2428

List of positive integer factors of 2428 that divides 2428 without a remainder.

1, 2, 4, 607, 1214, 2428

Factors of 2431

List of positive integer factors of 2431 that divides 2431 without a remainder.

1, 11, 13, 17, 143, 187, 221, 2431

Least Common Multiple of 2428 and 2431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2428 and 2431, than apply into the LCM equation.

GCF(2428,2431) = 1
LCM(2428,2431) = ( 2428 × 2431) / 1
LCM(2428,2431) = 5902468 / 1
LCM(2428,2431) = 5902468

Properties of LCM 2428 and 2431

(i) The LCM of 2431 and 2428 is associative

LCM of 2428 and 2431 = LCM of 2431 and 2428

Related Least Common Multiples of 2428

Related Least Common Multiples of 2431

Frequently Asked Questions on LCM of 2428 and 2431

1. What is the LCM of 2428 and 2431?

Answer: LCM of 2428 and 2431 is 5902468.

2. What are the Factors of 2428?

Answer: Factors of 2428 are 1, 2, 4, 607, 1214, 2428. There are 6 integers that are factors of 2428. The greatest factor of 2428 is 2428.

3. What are the Factors of 2431?

Answer: Factors of 2431 are 1, 11, 13, 17, 143, 187, 221, 2431. There are 8 integers that are factors of 2431. The greatest factor of 2431 is 2431.

4. How to Find the LCM of 2428 and 2431?

Answer:

Least Common Multiple of 2428 and 2431 = 5902468

Step 1: Find the prime factorization of 2428

2428 = 2 x 2 x 607

Step 2: Find the prime factorization of 2431

2431 = 11 x 13 x 17

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

LCM = 5902468 = 2 x 2 x 11 x 13 x 17 x 607

Step 4: Therefore, the least common multiple of 2428 and 2431 is 5902468.