Least Common Multiple of 13373 and 13381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13373 and 13381 the smallest integer that is 178944113 that is divisible by both numbers.

Least Common Multiple (LCM) of 13373 and 13381 is 178944113.

LCM(13373,13381) = 178944113

LCM of 13373 and 13381

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

LCM of:
and

Least Common Multiple of 13373 and 13381

LCM of 13373 and 13381 is 178944113

Least common multiple can be found by multiplying the highest exponent prime factors of 13373 and 13381. First we will calculate the prime factors of 13373 and 13381.

Prime Factorization of 13373


43 13373
311 311
1

Prime factors of 13373 are 43,311. Prime factorization of 13373 in exponential form is:

13373 = 431×3111

Prime Factorization of 13381


13381 13381
1

Prime factors of 13381 are 13381. Prime factorization of 13381 in exponential form is:

13381 = 133811

Now multiplying the highest exponent prime factors to calculate the LCM of 13373 and 13381.

LCM(13373,13381) = 431×3111×133811
LCM(13373,13381) = 178944113

Factors of 13373

List of positive integer factors of 13373 that divides 13373 without a remainder.

1, 43, 311, 13373

Factors of 13381

List of positive integer factors of 13381 that divides 13381 without a remainder.

1, 13381

Least Common Multiple of 13373 and 13381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13373 and 13381, than apply into the LCM equation.

GCF(13373,13381) = 1
LCM(13373,13381) = ( 13373 × 13381) / 1
LCM(13373,13381) = 178944113 / 1
LCM(13373,13381) = 178944113

Properties of LCM 13373 and 13381

(i) The LCM of 13381 and 13373 is associative

LCM of 13373 and 13381 = LCM of 13381 and 13373

Related Least Common Multiples of 13373

Related Least Common Multiples of 13381

Frequently Asked Questions on LCM of 13373 and 13381

1. What is the LCM of 13373 and 13381?

Answer: LCM of 13373 and 13381 is 178944113.

2. What are the Factors of 13373?

Answer: Factors of 13373 are 1, 43, 311, 13373. There are 4 integers that are factors of 13373. The greatest factor of 13373 is 13373.

3. What are the Factors of 13381?

Answer: Factors of 13381 are 1, 13381. There are 2 integers that are factors of 13381. The greatest factor of 13381 is 13381.

4. How to Find the LCM of 13373 and 13381?

Answer:

Least Common Multiple of 13373 and 13381 = 178944113

Step 1: Find the prime factorization of 13373

13373 = 43 x 311

Step 2: Find the prime factorization of 13381

13381 = 13381

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

LCM = 178944113 = 43 x 311 x 13381

Step 4: Therefore, the least common multiple of 13373 and 13381 is 178944113.