Least Common Multiple of 15401 and 15403

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 15403 the smallest integer that is 237221603 that is divisible by both numbers.

Least Common Multiple (LCM) of 15401 and 15403 is 237221603.

LCM(15401,15403) = 237221603

LCM of 15401 and 15403

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

LCM of:
and

Least Common Multiple of 15401 and 15403

LCM of 15401 and 15403 is 237221603

Least common multiple can be found by multiplying the highest exponent prime factors of 15401 and 15403. First we will calculate the prime factors of 15401 and 15403.

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 15403


73 15403
211 211
1

Prime factors of 15403 are 73,211. Prime factorization of 15403 in exponential form is:

15403 = 731×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 15401 and 15403.

LCM(15401,15403) = 731×2111×154011
LCM(15401,15403) = 237221603

Factors of 15401

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

1, 15401

Factors of 15403

List of positive integer factors of 15403 that divides 15403 without a remainder.

1, 73, 211, 15403

Least Common Multiple of 15401 and 15403 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 15403, than apply into the LCM equation.

GCF(15401,15403) = 1
LCM(15401,15403) = ( 15401 × 15403) / 1
LCM(15401,15403) = 237221603 / 1
LCM(15401,15403) = 237221603

Properties of LCM 15401 and 15403

(i) The LCM of 15403 and 15401 is associative

LCM of 15401 and 15403 = LCM of 15403 and 15401

Related Least Common Multiples of 15401

Related Least Common Multiples of 15403

Frequently Asked Questions on LCM of 15401 and 15403

1. What is the LCM of 15401 and 15403?

Answer: LCM of 15401 and 15403 is 237221603.

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 15403?

Answer: Factors of 15403 are 1, 73, 211, 15403. There are 4 integers that are factors of 15403. The greatest factor of 15403 is 15403.

4. How to Find the LCM of 15401 and 15403?

Answer:

Least Common Multiple of 15401 and 15403 = 237221603

Step 1: Find the prime factorization of 15401

15401 = 15401

Step 2: Find the prime factorization of 15403

15403 = 73 x 211

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

LCM = 237221603 = 73 x 211 x 15401

Step 4: Therefore, the least common multiple of 15401 and 15403 is 237221603.