Least Common Multiple of 15413 and 15421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15413 and 15421 the smallest integer that is 237683873 that is divisible by both numbers.

Least Common Multiple (LCM) of 15413 and 15421 is 237683873.

LCM(15413,15421) = 237683873

LCM of 15413 and 15421

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

LCM of:
and

Least Common Multiple of 15413 and 15421

LCM of 15413 and 15421 is 237683873

Least common multiple can be found by multiplying the highest exponent prime factors of 15413 and 15421. First we will calculate the prime factors of 15413 and 15421.

Prime Factorization of 15413


15413 15413
1

Prime factors of 15413 are 15413. Prime factorization of 15413 in exponential form is:

15413 = 154131

Prime Factorization of 15421


7 15421
2203 2203
1

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

15421 = 71×22031

Now multiplying the highest exponent prime factors to calculate the LCM of 15413 and 15421.

LCM(15413,15421) = 71×22031×154131
LCM(15413,15421) = 237683873

Factors of 15413

List of positive integer factors of 15413 that divides 15413 without a remainder.

1, 15413

Factors of 15421

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

1, 7, 2203, 15421

Least Common Multiple of 15413 and 15421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15413 and 15421, than apply into the LCM equation.

GCF(15413,15421) = 1
LCM(15413,15421) = ( 15413 × 15421) / 1
LCM(15413,15421) = 237683873 / 1
LCM(15413,15421) = 237683873

Properties of LCM 15413 and 15421

(i) The LCM of 15421 and 15413 is associative

LCM of 15413 and 15421 = LCM of 15421 and 15413

Related Least Common Multiples of 15413

Related Least Common Multiples of 15421

Frequently Asked Questions on LCM of 15413 and 15421

1. What is the LCM of 15413 and 15421?

Answer: LCM of 15413 and 15421 is 237683873.

2. What are the Factors of 15413?

Answer: Factors of 15413 are 1, 15413. There are 2 integers that are factors of 15413. The greatest factor of 15413 is 15413.

3. 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.

4. How to Find the LCM of 15413 and 15421?

Answer:

Least Common Multiple of 15413 and 15421 = 237683873

Step 1: Find the prime factorization of 15413

15413 = 15413

Step 2: Find the prime factorization of 15421

15421 = 7 x 2203

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

LCM = 237683873 = 7 x 2203 x 15413

Step 4: Therefore, the least common multiple of 15413 and 15421 is 237683873.