Least Common Multiple of 5366 and 5372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5366 and 5372 the smallest integer that is 14413076 that is divisible by both numbers.

Least Common Multiple (LCM) of 5366 and 5372 is 14413076.

LCM(5366,5372) = 14413076

LCM of 5366 and 5372

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

LCM of:
and

Least Common Multiple of 5366 and 5372

LCM of 5366 and 5372 is 14413076

Least common multiple can be found by multiplying the highest exponent prime factors of 5366 and 5372. First we will calculate the prime factors of 5366 and 5372.

Prime Factorization of 5366


2 5366
2683 2683
1

Prime factors of 5366 are 2,2683. Prime factorization of 5366 in exponential form is:

5366 = 21×26831

Prime Factorization of 5372


2 5372
2 2686
17 1343
79 79
1

Prime factors of 5372 are 2, 17,79. Prime factorization of 5372 in exponential form is:

5372 = 22×171×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5366 and 5372.

LCM(5366,5372) = 22×171×791×26831
LCM(5366,5372) = 14413076

Factors of 5366

List of positive integer factors of 5366 that divides 5366 without a remainder.

1, 2, 2683, 5366

Factors of 5372

List of positive integer factors of 5372 that divides 5372 without a remainder.

1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372

Least Common Multiple of 5366 and 5372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5366 and 5372, than apply into the LCM equation.

GCF(5366,5372) = 2
LCM(5366,5372) = ( 5366 × 5372) / 2
LCM(5366,5372) = 28826152 / 2
LCM(5366,5372) = 14413076

Properties of LCM 5366 and 5372

(i) The LCM of 5372 and 5366 is associative

LCM of 5366 and 5372 = LCM of 5372 and 5366

Related Least Common Multiples of 5366

Related Least Common Multiples of 5372

Frequently Asked Questions on LCM of 5366 and 5372

1. What is the LCM of 5366 and 5372?

Answer: LCM of 5366 and 5372 is 14413076.

2. What are the Factors of 5366?

Answer: Factors of 5366 are 1, 2, 2683, 5366. There are 4 integers that are factors of 5366. The greatest factor of 5366 is 5366.

3. What are the Factors of 5372?

Answer: Factors of 5372 are 1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372. There are 12 integers that are factors of 5372. The greatest factor of 5372 is 5372.

4. How to Find the LCM of 5366 and 5372?

Answer:

Least Common Multiple of 5366 and 5372 = 14413076

Step 1: Find the prime factorization of 5366

5366 = 2 x 2683

Step 2: Find the prime factorization of 5372

5372 = 2 x 2 x 17 x 79

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

LCM = 14413076 = 2 x 2 x 17 x 79 x 2683

Step 4: Therefore, the least common multiple of 5366 and 5372 is 14413076.