Least Common Multiple of 15421 and 15429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15421 and 15429 the smallest integer that is 237930609 that is divisible by both numbers.

Least Common Multiple (LCM) of 15421 and 15429 is 237930609.

LCM(15421,15429) = 237930609

LCM of 15421 and 15429

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

LCM of:
and

Least Common Multiple of 15421 and 15429

LCM of 15421 and 15429 is 237930609

Least common multiple can be found by multiplying the highest exponent prime factors of 15421 and 15429. First we will calculate the prime factors of 15421 and 15429.

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

Prime Factorization of 15429


3 15429
37 5143
139 139
1

Prime factors of 15429 are 3, 37,139. Prime factorization of 15429 in exponential form is:

15429 = 31×371×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 15421 and 15429.

LCM(15421,15429) = 31×71×371×1391×22031
LCM(15421,15429) = 237930609

Factors of 15421

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

1, 7, 2203, 15421

Factors of 15429

List of positive integer factors of 15429 that divides 15429 without a remainder.

1, 3, 37, 111, 139, 417, 5143, 15429

Least Common Multiple of 15421 and 15429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15421 and 15429, than apply into the LCM equation.

GCF(15421,15429) = 1
LCM(15421,15429) = ( 15421 × 15429) / 1
LCM(15421,15429) = 237930609 / 1
LCM(15421,15429) = 237930609

Properties of LCM 15421 and 15429

(i) The LCM of 15429 and 15421 is associative

LCM of 15421 and 15429 = LCM of 15429 and 15421

Related Least Common Multiples of 15421

Related Least Common Multiples of 15429

Frequently Asked Questions on LCM of 15421 and 15429

1. What is the LCM of 15421 and 15429?

Answer: LCM of 15421 and 15429 is 237930609.

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 15429?

Answer: Factors of 15429 are 1, 3, 37, 111, 139, 417, 5143, 15429. There are 8 integers that are factors of 15429. The greatest factor of 15429 is 15429.

4. How to Find the LCM of 15421 and 15429?

Answer:

Least Common Multiple of 15421 and 15429 = 237930609

Step 1: Find the prime factorization of 15421

15421 = 7 x 2203

Step 2: Find the prime factorization of 15429

15429 = 3 x 37 x 139

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

LCM = 237930609 = 3 x 7 x 37 x 139 x 2203

Step 4: Therefore, the least common multiple of 15421 and 15429 is 237930609.