Least Common Multiple of 15401 and 15406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15401 and 15406 the smallest integer that is 237267806 that is divisible by both numbers.

Least Common Multiple (LCM) of 15401 and 15406 is 237267806.

LCM(15401,15406) = 237267806

LCM of 15401 and 15406

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

LCM of:
and

Least Common Multiple of 15401 and 15406

LCM of 15401 and 15406 is 237267806

Least common multiple can be found by multiplying the highest exponent prime factors of 15401 and 15406. First we will calculate the prime factors of 15401 and 15406.

Prime Factorization of 15401


15401 15401
1

Prime factors of 15401 are 15401. Prime factorization of 15401 in exponential form is:

15401 = 154011

Prime Factorization of 15406


2 15406
7703 7703
1

Prime factors of 15406 are 2,7703. Prime factorization of 15406 in exponential form is:

15406 = 21×77031

Now multiplying the highest exponent prime factors to calculate the LCM of 15401 and 15406.

LCM(15401,15406) = 21×77031×154011
LCM(15401,15406) = 237267806

Factors of 15401

List of positive integer factors of 15401 that divides 15401 without a remainder.

1, 15401

Factors of 15406

List of positive integer factors of 15406 that divides 15406 without a remainder.

1, 2, 7703, 15406

Least Common Multiple of 15401 and 15406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15401 and 15406, than apply into the LCM equation.

GCF(15401,15406) = 1
LCM(15401,15406) = ( 15401 × 15406) / 1
LCM(15401,15406) = 237267806 / 1
LCM(15401,15406) = 237267806

Properties of LCM 15401 and 15406

(i) The LCM of 15406 and 15401 is associative

LCM of 15401 and 15406 = LCM of 15406 and 15401

Related Least Common Multiples of 15401

Related Least Common Multiples of 15406

Frequently Asked Questions on LCM of 15401 and 15406

1. What is the LCM of 15401 and 15406?

Answer: LCM of 15401 and 15406 is 237267806.

2. What are the Factors of 15401?

Answer: Factors of 15401 are 1, 15401. There are 2 integers that are factors of 15401. The greatest factor of 15401 is 15401.

3. What are the Factors of 15406?

Answer: Factors of 15406 are 1, 2, 7703, 15406. There are 4 integers that are factors of 15406. The greatest factor of 15406 is 15406.

4. How to Find the LCM of 15401 and 15406?

Answer:

Least Common Multiple of 15401 and 15406 = 237267806

Step 1: Find the prime factorization of 15401

15401 = 15401

Step 2: Find the prime factorization of 15406

15406 = 2 x 7703

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

LCM = 237267806 = 2 x 7703 x 15401

Step 4: Therefore, the least common multiple of 15401 and 15406 is 237267806.