Least Common Multiple of 2428 and 2436

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 2436 the smallest integer that is 1478652 that is divisible by both numbers.

Least Common Multiple (LCM) of 2428 and 2436 is 1478652.

LCM(2428,2436) = 1478652

LCM of 2428 and 2436

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

LCM of:
and

Least Common Multiple of 2428 and 2436

LCM of 2428 and 2436 is 1478652

Least common multiple can be found by multiplying the highest exponent prime factors of 2428 and 2436. First we will calculate the prime factors of 2428 and 2436.

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 2436


2 2436
2 1218
3 609
7 203
29 29
1

Prime factors of 2436 are 2, 3, 7,29. Prime factorization of 2436 in exponential form is:

2436 = 22×31×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2428 and 2436.

LCM(2428,2436) = 22×31×71×291×6071
LCM(2428,2436) = 1478652

Factors of 2428

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

1, 2, 4, 607, 1214, 2428

Factors of 2436

List of positive integer factors of 2436 that divides 2436 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436

Least Common Multiple of 2428 and 2436 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 2436, than apply into the LCM equation.

GCF(2428,2436) = 4
LCM(2428,2436) = ( 2428 × 2436) / 4
LCM(2428,2436) = 5914608 / 4
LCM(2428,2436) = 1478652

Properties of LCM 2428 and 2436

(i) The LCM of 2436 and 2428 is associative

LCM of 2428 and 2436 = LCM of 2436 and 2428

Related Least Common Multiples of 2428

Related Least Common Multiples of 2436

Frequently Asked Questions on LCM of 2428 and 2436

1. What is the LCM of 2428 and 2436?

Answer: LCM of 2428 and 2436 is 1478652.

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 2436?

Answer: Factors of 2436 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436. There are 24 integers that are factors of 2436. The greatest factor of 2436 is 2436.

4. How to Find the LCM of 2428 and 2436?

Answer:

Least Common Multiple of 2428 and 2436 = 1478652

Step 1: Find the prime factorization of 2428

2428 = 2 x 2 x 607

Step 2: Find the prime factorization of 2436

2436 = 2 x 2 x 3 x 7 x 29

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

LCM = 1478652 = 2 x 2 x 3 x 7 x 29 x 607

Step 4: Therefore, the least common multiple of 2428 and 2436 is 1478652.