Least Common Multiple of 15428 and 15433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15428 and 15433 the smallest integer that is 238100324 that is divisible by both numbers.

Least Common Multiple (LCM) of 15428 and 15433 is 238100324.

LCM(15428,15433) = 238100324

LCM of 15428 and 15433

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

LCM of:
and

Least Common Multiple of 15428 and 15433

LCM of 15428 and 15433 is 238100324

Least common multiple can be found by multiplying the highest exponent prime factors of 15428 and 15433. First we will calculate the prime factors of 15428 and 15433.

Prime Factorization of 15428


2 15428
2 7714
7 3857
19 551
29 29
1

Prime factors of 15428 are 2, 7, 19,29. Prime factorization of 15428 in exponential form is:

15428 = 22×71×191×291

Prime Factorization of 15433


11 15433
23 1403
61 61
1

Prime factors of 15433 are 11, 23,61. Prime factorization of 15433 in exponential form is:

15433 = 111×231×611

Now multiplying the highest exponent prime factors to calculate the LCM of 15428 and 15433.

LCM(15428,15433) = 22×71×111×191×231×291×611
LCM(15428,15433) = 238100324

Factors of 15428

List of positive integer factors of 15428 that divides 15428 without a remainder.

1, 2, 4, 7, 14, 19, 28, 29, 38, 58, 76, 116, 133, 203, 266, 406, 532, 551, 812, 1102, 2204, 3857, 7714, 15428

Factors of 15433

List of positive integer factors of 15433 that divides 15433 without a remainder.

1, 11, 23, 61, 253, 671, 1403, 15433

Least Common Multiple of 15428 and 15433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15428 and 15433, than apply into the LCM equation.

GCF(15428,15433) = 1
LCM(15428,15433) = ( 15428 × 15433) / 1
LCM(15428,15433) = 238100324 / 1
LCM(15428,15433) = 238100324

Properties of LCM 15428 and 15433

(i) The LCM of 15433 and 15428 is associative

LCM of 15428 and 15433 = LCM of 15433 and 15428

Related Least Common Multiples of 15428

Related Least Common Multiples of 15433

Frequently Asked Questions on LCM of 15428 and 15433

1. What is the LCM of 15428 and 15433?

Answer: LCM of 15428 and 15433 is 238100324.

2. What are the Factors of 15428?

Answer: Factors of 15428 are 1, 2, 4, 7, 14, 19, 28, 29, 38, 58, 76, 116, 133, 203, 266, 406, 532, 551, 812, 1102, 2204, 3857, 7714, 15428. There are 24 integers that are factors of 15428. The greatest factor of 15428 is 15428.

3. What are the Factors of 15433?

Answer: Factors of 15433 are 1, 11, 23, 61, 253, 671, 1403, 15433. There are 8 integers that are factors of 15433. The greatest factor of 15433 is 15433.

4. How to Find the LCM of 15428 and 15433?

Answer:

Least Common Multiple of 15428 and 15433 = 238100324

Step 1: Find the prime factorization of 15428

15428 = 2 x 2 x 7 x 19 x 29

Step 2: Find the prime factorization of 15433

15433 = 11 x 23 x 61

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

LCM = 238100324 = 2 x 2 x 7 x 11 x 19 x 23 x 29 x 61

Step 4: Therefore, the least common multiple of 15428 and 15433 is 238100324.