Least Common Multiple of 5326 and 5331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5326 and 5331 the smallest integer that is 28392906 that is divisible by both numbers.

Least Common Multiple (LCM) of 5326 and 5331 is 28392906.

LCM(5326,5331) = 28392906

LCM of 5326 and 5331

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

LCM of:
and

Least Common Multiple of 5326 and 5331

LCM of 5326 and 5331 is 28392906

Least common multiple can be found by multiplying the highest exponent prime factors of 5326 and 5331. First we will calculate the prime factors of 5326 and 5331.

Prime Factorization of 5326


2 5326
2663 2663
1

Prime factors of 5326 are 2,2663. Prime factorization of 5326 in exponential form is:

5326 = 21×26631

Prime Factorization of 5331


3 5331
1777 1777
1

Prime factors of 5331 are 3,1777. Prime factorization of 5331 in exponential form is:

5331 = 31×17771

Now multiplying the highest exponent prime factors to calculate the LCM of 5326 and 5331.

LCM(5326,5331) = 21×31×17771×26631
LCM(5326,5331) = 28392906

Factors of 5326

List of positive integer factors of 5326 that divides 5326 without a remainder.

1, 2, 2663, 5326

Factors of 5331

List of positive integer factors of 5331 that divides 5331 without a remainder.

1, 3, 1777, 5331

Least Common Multiple of 5326 and 5331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5326 and 5331, than apply into the LCM equation.

GCF(5326,5331) = 1
LCM(5326,5331) = ( 5326 × 5331) / 1
LCM(5326,5331) = 28392906 / 1
LCM(5326,5331) = 28392906

Properties of LCM 5326 and 5331

(i) The LCM of 5331 and 5326 is associative

LCM of 5326 and 5331 = LCM of 5331 and 5326

Related Least Common Multiples of 5326

Related Least Common Multiples of 5331

Frequently Asked Questions on LCM of 5326 and 5331

1. What is the LCM of 5326 and 5331?

Answer: LCM of 5326 and 5331 is 28392906.

2. What are the Factors of 5326?

Answer: Factors of 5326 are 1, 2, 2663, 5326. There are 4 integers that are factors of 5326. The greatest factor of 5326 is 5326.

3. What are the Factors of 5331?

Answer: Factors of 5331 are 1, 3, 1777, 5331. There are 4 integers that are factors of 5331. The greatest factor of 5331 is 5331.

4. How to Find the LCM of 5326 and 5331?

Answer:

Least Common Multiple of 5326 and 5331 = 28392906

Step 1: Find the prime factorization of 5326

5326 = 2 x 2663

Step 2: Find the prime factorization of 5331

5331 = 3 x 1777

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

LCM = 28392906 = 2 x 3 x 1777 x 2663

Step 4: Therefore, the least common multiple of 5326 and 5331 is 28392906.