Least Common Multiple of 13371 and 13377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13371 and 13377 the smallest integer that is 59621289 that is divisible by both numbers.

Least Common Multiple (LCM) of 13371 and 13377 is 59621289.

LCM(13371,13377) = 59621289

LCM of 13371 and 13377

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

LCM of:
and

Least Common Multiple of 13371 and 13377

LCM of 13371 and 13377 is 59621289

Least common multiple can be found by multiplying the highest exponent prime factors of 13371 and 13377. First we will calculate the prime factors of 13371 and 13377.

Prime Factorization of 13371


3 13371
4457 4457
1

Prime factors of 13371 are 3,4457. Prime factorization of 13371 in exponential form is:

13371 = 31×44571

Prime Factorization of 13377


3 13377
7 4459
7 637
7 91
13 13
1

Prime factors of 13377 are 3, 7,13. Prime factorization of 13377 in exponential form is:

13377 = 31×73×131

Now multiplying the highest exponent prime factors to calculate the LCM of 13371 and 13377.

LCM(13371,13377) = 31×73×131×44571
LCM(13371,13377) = 59621289

Factors of 13371

List of positive integer factors of 13371 that divides 13371 without a remainder.

1, 3, 4457, 13371

Factors of 13377

List of positive integer factors of 13377 that divides 13377 without a remainder.

1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 343, 637, 1029, 1911, 4459, 13377

Least Common Multiple of 13371 and 13377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13371 and 13377, than apply into the LCM equation.

GCF(13371,13377) = 3
LCM(13371,13377) = ( 13371 × 13377) / 3
LCM(13371,13377) = 178863867 / 3
LCM(13371,13377) = 59621289

Properties of LCM 13371 and 13377

(i) The LCM of 13377 and 13371 is associative

LCM of 13371 and 13377 = LCM of 13377 and 13371

Related Least Common Multiples of 13371

Related Least Common Multiples of 13377

Frequently Asked Questions on LCM of 13371 and 13377

1. What is the LCM of 13371 and 13377?

Answer: LCM of 13371 and 13377 is 59621289.

2. What are the Factors of 13371?

Answer: Factors of 13371 are 1, 3, 4457, 13371. There are 4 integers that are factors of 13371. The greatest factor of 13371 is 13371.

3. What are the Factors of 13377?

Answer: Factors of 13377 are 1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 343, 637, 1029, 1911, 4459, 13377. There are 16 integers that are factors of 13377. The greatest factor of 13377 is 13377.

4. How to Find the LCM of 13371 and 13377?

Answer:

Least Common Multiple of 13371 and 13377 = 59621289

Step 1: Find the prime factorization of 13371

13371 = 3 x 4457

Step 2: Find the prime factorization of 13377

13377 = 3 x 7 x 7 x 7 x 13

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

LCM = 59621289 = 3 x 7 x 7 x 7 x 13 x 4457

Step 4: Therefore, the least common multiple of 13371 and 13377 is 59621289.