Least Common Multiple of 15415 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 15415 and 15421 the smallest integer that is 237714715 that is divisible by both numbers.

Least Common Multiple (LCM) of 15415 and 15421 is 237714715.

LCM(15415,15421) = 237714715

LCM of 15415 and 15421

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

LCM of:
and

Least Common Multiple of 15415 and 15421

LCM of 15415 and 15421 is 237714715

Least common multiple can be found by multiplying the highest exponent prime factors of 15415 and 15421. First we will calculate the prime factors of 15415 and 15421.

Prime Factorization of 15415


5 15415
3083 3083
1

Prime factors of 15415 are 5,3083. Prime factorization of 15415 in exponential form is:

15415 = 51×30831

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 15415 and 15421.

LCM(15415,15421) = 51×71×22031×30831
LCM(15415,15421) = 237714715

Factors of 15415

List of positive integer factors of 15415 that divides 15415 without a remainder.

1, 5, 3083, 15415

Factors of 15421

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

1, 7, 2203, 15421

Least Common Multiple of 15415 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 15415 and 15421, than apply into the LCM equation.

GCF(15415,15421) = 1
LCM(15415,15421) = ( 15415 × 15421) / 1
LCM(15415,15421) = 237714715 / 1
LCM(15415,15421) = 237714715

Properties of LCM 15415 and 15421

(i) The LCM of 15421 and 15415 is associative

LCM of 15415 and 15421 = LCM of 15421 and 15415

Related Least Common Multiples of 15415

Related Least Common Multiples of 15421

Frequently Asked Questions on LCM of 15415 and 15421

1. What is the LCM of 15415 and 15421?

Answer: LCM of 15415 and 15421 is 237714715.

2. What are the Factors of 15415?

Answer: Factors of 15415 are 1, 5, 3083, 15415. There are 4 integers that are factors of 15415. The greatest factor of 15415 is 15415.

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 15415 and 15421?

Answer:

Least Common Multiple of 15415 and 15421 = 237714715

Step 1: Find the prime factorization of 15415

15415 = 5 x 3083

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 = 237714715 = 5 x 7 x 2203 x 3083

Step 4: Therefore, the least common multiple of 15415 and 15421 is 237714715.