Least Common Multiple of 13371 and 13376

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 13376 the smallest integer that is 178850496 that is divisible by both numbers.

Least Common Multiple (LCM) of 13371 and 13376 is 178850496.

LCM(13371,13376) = 178850496

LCM of 13371 and 13376

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

LCM of:
and

Least Common Multiple of 13371 and 13376

LCM of 13371 and 13376 is 178850496

Least common multiple can be found by multiplying the highest exponent prime factors of 13371 and 13376. First we will calculate the prime factors of 13371 and 13376.

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 13376


2 13376
2 6688
2 3344
2 1672
2 836
2 418
11 209
19 19
1

Prime factors of 13376 are 2, 11,19. Prime factorization of 13376 in exponential form is:

13376 = 26×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 13371 and 13376.

LCM(13371,13376) = 26×31×111×191×44571
LCM(13371,13376) = 178850496

Factors of 13371

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

1, 3, 4457, 13371

Factors of 13376

List of positive integer factors of 13376 that divides 13376 without a remainder.

1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 64, 76, 88, 152, 176, 209, 304, 352, 418, 608, 704, 836, 1216, 1672, 3344, 6688, 13376

Least Common Multiple of 13371 and 13376 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 13376, than apply into the LCM equation.

GCF(13371,13376) = 1
LCM(13371,13376) = ( 13371 × 13376) / 1
LCM(13371,13376) = 178850496 / 1
LCM(13371,13376) = 178850496

Properties of LCM 13371 and 13376

(i) The LCM of 13376 and 13371 is associative

LCM of 13371 and 13376 = LCM of 13376 and 13371

Related Least Common Multiples of 13371

Related Least Common Multiples of 13376

Frequently Asked Questions on LCM of 13371 and 13376

1. What is the LCM of 13371 and 13376?

Answer: LCM of 13371 and 13376 is 178850496.

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 13376?

Answer: Factors of 13376 are 1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 64, 76, 88, 152, 176, 209, 304, 352, 418, 608, 704, 836, 1216, 1672, 3344, 6688, 13376. There are 28 integers that are factors of 13376. The greatest factor of 13376 is 13376.

4. How to Find the LCM of 13371 and 13376?

Answer:

Least Common Multiple of 13371 and 13376 = 178850496

Step 1: Find the prime factorization of 13371

13371 = 3 x 4457

Step 2: Find the prime factorization of 13376

13376 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 19

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

LCM = 178850496 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 19 x 4457

Step 4: Therefore, the least common multiple of 13371 and 13376 is 178850496.