Least Common Multiple of 15421 and 15428

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

• Least Common Multiple of 15421 and 15428 by Prime method
• Least Common Multiple of 15421 and 15428 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15421 and 15428. First we will calculate the prime factors of 15421 and 15428.

Prime Factorization of 15421

Prime factors of 15421 are 7,2203. Prime factorization of 15421 in exponential form is:

15421 = 7¹×2203¹

Prime Factorization of 15428

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

15428 = 2²×7¹×19¹×29¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15421 and 15428.

LCM(15421,15428) = 2²×7¹×19¹×29¹×2203¹
LCM(15421,15428) = 33987884

Factors of 15421

List of positive integer factors of 15421 that divides 15421 without a remainder.

1, 7, 2203, 15421

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15421 and 15428, than apply into the LCM equation.

GCF(15421,15428) = 7
LCM(15421,15428) = ( 15421 × 15428) / 7
LCM(15421,15428) = 237915188 / 7
LCM(15421,15428) = 33987884

(i) The LCM of 15428 and 15421 is associative

LCM of 15421 and 15428 = LCM of 15428 and 15421

1. What is the LCM of 15421 and 15428?

Answer: LCM of 15421 and 15428 is 33987884.

2. What are the Factors of 15421?

Answer: Factors of 15421 are 1, 7, 2203, 15421. There are 4 integers that are factors of 15421. The greatest factor of 15421 is 15421.

3. 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.

4. How to Find the LCM of 15421 and 15428?

Answer:

Least Common Multiple of 15421 and 15428 = 33987884

Step 1: Find the prime factorization of 15421

15421 = 7 x 2203

Step 2: Find the prime factorization of 15428

15428 = 2 x 2 x 7 x 19 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 = 33987884 = 2 x 2 x 7 x 19 x 29 x 2203

Step 4: Therefore, the least common multiple of 15421 and 15428 is 33987884.