Least Common Multiple of 13372 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 13372 and 13376 the smallest integer that is 44715968 that is divisible by both numbers.

Least Common Multiple (LCM) of 13372 and 13376 is 44715968.

LCM(13372,13376) = 44715968

LCM of 13372 and 13376

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

LCM of:
and

Least Common Multiple of 13372 and 13376

LCM of 13372 and 13376 is 44715968

Least common multiple can be found by multiplying the highest exponent prime factors of 13372 and 13376. First we will calculate the prime factors of 13372 and 13376.

Prime Factorization of 13372


2 13372
2 6686
3343 3343
1

Prime factors of 13372 are 2,3343. Prime factorization of 13372 in exponential form is:

13372 = 22×33431

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 13372 and 13376.

LCM(13372,13376) = 26×111×191×33431
LCM(13372,13376) = 44715968

Factors of 13372

List of positive integer factors of 13372 that divides 13372 without a remainder.

1, 2, 4, 3343, 6686, 13372

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 13372 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 13372 and 13376, than apply into the LCM equation.

GCF(13372,13376) = 4
LCM(13372,13376) = ( 13372 × 13376) / 4
LCM(13372,13376) = 178863872 / 4
LCM(13372,13376) = 44715968

Properties of LCM 13372 and 13376

(i) The LCM of 13376 and 13372 is associative

LCM of 13372 and 13376 = LCM of 13376 and 13372

Related Least Common Multiples of 13372

Related Least Common Multiples of 13376

Frequently Asked Questions on LCM of 13372 and 13376

1. What is the LCM of 13372 and 13376?

Answer: LCM of 13372 and 13376 is 44715968.

2. What are the Factors of 13372?

Answer: Factors of 13372 are 1, 2, 4, 3343, 6686, 13372. There are 6 integers that are factors of 13372. The greatest factor of 13372 is 13372.

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 13372 and 13376?

Answer:

Least Common Multiple of 13372 and 13376 = 44715968

Step 1: Find the prime factorization of 13372

13372 = 2 x 2 x 3343

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 = 44715968 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 19 x 3343

Step 4: Therefore, the least common multiple of 13372 and 13376 is 44715968.