Least Common Multiple of 5322 and 5326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5322 and 5326 the smallest integer that is 14172486 that is divisible by both numbers.

Least Common Multiple (LCM) of 5322 and 5326 is 14172486.

LCM(5322,5326) = 14172486

LCM of 5322 and 5326

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

LCM of:
and

Least Common Multiple of 5322 and 5326

LCM of 5322 and 5326 is 14172486

Least common multiple can be found by multiplying the highest exponent prime factors of 5322 and 5326. First we will calculate the prime factors of 5322 and 5326.

Prime Factorization of 5322


2 5322
3 2661
887 887
1

Prime factors of 5322 are 2, 3,887. Prime factorization of 5322 in exponential form is:

5322 = 21×31×8871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5322 and 5326.

LCM(5322,5326) = 21×31×8871×26631
LCM(5322,5326) = 14172486

Factors of 5322

List of positive integer factors of 5322 that divides 5322 without a remainder.

1, 2, 3, 6, 887, 1774, 2661, 5322

Factors of 5326

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

1, 2, 2663, 5326

Least Common Multiple of 5322 and 5326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5322 and 5326, than apply into the LCM equation.

GCF(5322,5326) = 2
LCM(5322,5326) = ( 5322 × 5326) / 2
LCM(5322,5326) = 28344972 / 2
LCM(5322,5326) = 14172486

Properties of LCM 5322 and 5326

(i) The LCM of 5326 and 5322 is associative

LCM of 5322 and 5326 = LCM of 5326 and 5322

Related Least Common Multiples of 5322

Related Least Common Multiples of 5326

Frequently Asked Questions on LCM of 5322 and 5326

1. What is the LCM of 5322 and 5326?

Answer: LCM of 5322 and 5326 is 14172486.

2. What are the Factors of 5322?

Answer: Factors of 5322 are 1, 2, 3, 6, 887, 1774, 2661, 5322. There are 8 integers that are factors of 5322. The greatest factor of 5322 is 5322.

3. 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.

4. How to Find the LCM of 5322 and 5326?

Answer:

Least Common Multiple of 5322 and 5326 = 14172486

Step 1: Find the prime factorization of 5322

5322 = 2 x 3 x 887

Step 2: Find the prime factorization of 5326

5326 = 2 x 2663

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

LCM = 14172486 = 2 x 3 x 887 x 2663

Step 4: Therefore, the least common multiple of 5322 and 5326 is 14172486.