Least Common Multiple of 5366 and 5370

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 5370 the smallest integer that is 14407710 that is divisible by both numbers.

Least Common Multiple (LCM) of 5366 and 5370 is 14407710.

LCM(5366,5370) = 14407710

LCM of 5366 and 5370

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

LCM of:
and

Least Common Multiple of 5366 and 5370

LCM of 5366 and 5370 is 14407710

Least common multiple can be found by multiplying the highest exponent prime factors of 5366 and 5370. First we will calculate the prime factors of 5366 and 5370.

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 5370


2 5370
3 2685
5 895
179 179
1

Prime factors of 5370 are 2, 3, 5,179. Prime factorization of 5370 in exponential form is:

5370 = 21×31×51×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 5366 and 5370.

LCM(5366,5370) = 21×31×51×1791×26831
LCM(5366,5370) = 14407710

Factors of 5366

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

1, 2, 2683, 5366

Factors of 5370

List of positive integer factors of 5370 that divides 5370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370

Least Common Multiple of 5366 and 5370 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 5370, than apply into the LCM equation.

GCF(5366,5370) = 2
LCM(5366,5370) = ( 5366 × 5370) / 2
LCM(5366,5370) = 28815420 / 2
LCM(5366,5370) = 14407710

Properties of LCM 5366 and 5370

(i) The LCM of 5370 and 5366 is associative

LCM of 5366 and 5370 = LCM of 5370 and 5366

Related Least Common Multiples of 5366

Related Least Common Multiples of 5370

Frequently Asked Questions on LCM of 5366 and 5370

1. What is the LCM of 5366 and 5370?

Answer: LCM of 5366 and 5370 is 14407710.

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 5370?

Answer: Factors of 5370 are 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370. There are 16 integers that are factors of 5370. The greatest factor of 5370 is 5370.

4. How to Find the LCM of 5366 and 5370?

Answer:

Least Common Multiple of 5366 and 5370 = 14407710

Step 1: Find the prime factorization of 5366

5366 = 2 x 2683

Step 2: Find the prime factorization of 5370

5370 = 2 x 3 x 5 x 179

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

LCM = 14407710 = 2 x 3 x 5 x 179 x 2683

Step 4: Therefore, the least common multiple of 5366 and 5370 is 14407710.