Least Common Multiple of 2428 and 2433

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 2433 the smallest integer that is 5907324 that is divisible by both numbers.

Least Common Multiple (LCM) of 2428 and 2433 is 5907324.

LCM(2428,2433) = 5907324

LCM of 2428 and 2433

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

LCM of:
and

Least Common Multiple of 2428 and 2433

LCM of 2428 and 2433 is 5907324

Least common multiple can be found by multiplying the highest exponent prime factors of 2428 and 2433. First we will calculate the prime factors of 2428 and 2433.

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 2433


3 2433
811 811
1

Prime factors of 2433 are 3,811. Prime factorization of 2433 in exponential form is:

2433 = 31×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 2428 and 2433.

LCM(2428,2433) = 22×31×6071×8111
LCM(2428,2433) = 5907324

Factors of 2428

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

1, 2, 4, 607, 1214, 2428

Factors of 2433

List of positive integer factors of 2433 that divides 2433 without a remainder.

1, 3, 811, 2433

Least Common Multiple of 2428 and 2433 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 2433, than apply into the LCM equation.

GCF(2428,2433) = 1
LCM(2428,2433) = ( 2428 × 2433) / 1
LCM(2428,2433) = 5907324 / 1
LCM(2428,2433) = 5907324

Properties of LCM 2428 and 2433

(i) The LCM of 2433 and 2428 is associative

LCM of 2428 and 2433 = LCM of 2433 and 2428

Related Least Common Multiples of 2428

Related Least Common Multiples of 2433

Frequently Asked Questions on LCM of 2428 and 2433

1. What is the LCM of 2428 and 2433?

Answer: LCM of 2428 and 2433 is 5907324.

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 2433?

Answer: Factors of 2433 are 1, 3, 811, 2433. There are 4 integers that are factors of 2433. The greatest factor of 2433 is 2433.

4. How to Find the LCM of 2428 and 2433?

Answer:

Least Common Multiple of 2428 and 2433 = 5907324

Step 1: Find the prime factorization of 2428

2428 = 2 x 2 x 607

Step 2: Find the prime factorization of 2433

2433 = 3 x 811

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

LCM = 5907324 = 2 x 2 x 3 x 607 x 811

Step 4: Therefore, the least common multiple of 2428 and 2433 is 5907324.