Least Common Multiple of 5366 and 5373

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 5373 the smallest integer that is 28831518 that is divisible by both numbers.

Least Common Multiple (LCM) of 5366 and 5373 is 28831518.

LCM(5366,5373) = 28831518

LCM of 5366 and 5373

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

LCM of:
and

Least Common Multiple of 5366 and 5373

LCM of 5366 and 5373 is 28831518

Least common multiple can be found by multiplying the highest exponent prime factors of 5366 and 5373. First we will calculate the prime factors of 5366 and 5373.

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 5373


3 5373
3 1791
3 597
199 199
1

Prime factors of 5373 are 3,199. Prime factorization of 5373 in exponential form is:

5373 = 33×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 5366 and 5373.

LCM(5366,5373) = 21×33×1991×26831
LCM(5366,5373) = 28831518

Factors of 5366

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

1, 2, 2683, 5366

Factors of 5373

List of positive integer factors of 5373 that divides 5373 without a remainder.

1, 3, 9, 27, 199, 597, 1791, 5373

Least Common Multiple of 5366 and 5373 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 5373, than apply into the LCM equation.

GCF(5366,5373) = 1
LCM(5366,5373) = ( 5366 × 5373) / 1
LCM(5366,5373) = 28831518 / 1
LCM(5366,5373) = 28831518

Properties of LCM 5366 and 5373

(i) The LCM of 5373 and 5366 is associative

LCM of 5366 and 5373 = LCM of 5373 and 5366

Related Least Common Multiples of 5366

Related Least Common Multiples of 5373

Frequently Asked Questions on LCM of 5366 and 5373

1. What is the LCM of 5366 and 5373?

Answer: LCM of 5366 and 5373 is 28831518.

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 5373?

Answer: Factors of 5373 are 1, 3, 9, 27, 199, 597, 1791, 5373. There are 8 integers that are factors of 5373. The greatest factor of 5373 is 5373.

4. How to Find the LCM of 5366 and 5373?

Answer:

Least Common Multiple of 5366 and 5373 = 28831518

Step 1: Find the prime factorization of 5366

5366 = 2 x 2683

Step 2: Find the prime factorization of 5373

5373 = 3 x 3 x 3 x 199

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

LCM = 28831518 = 2 x 3 x 3 x 3 x 199 x 2683

Step 4: Therefore, the least common multiple of 5366 and 5373 is 28831518.