Least Common Multiple of 82322 and 82326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82322 and 82326 the smallest integer that is 3388620486 that is divisible by both numbers.

Least Common Multiple (LCM) of 82322 and 82326 is 3388620486.

LCM(82322,82326) = 3388620486

LCM of 82322 and 82326

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

LCM of:
and

Least Common Multiple of 82322 and 82326

LCM of 82322 and 82326 is 3388620486

Least common multiple can be found by multiplying the highest exponent prime factors of 82322 and 82326. First we will calculate the prime factors of 82322 and 82326.

Prime Factorization of 82322


2 82322
41161 41161
1

Prime factors of 82322 are 2,41161. Prime factorization of 82322 in exponential form is:

82322 = 21×411611

Prime Factorization of 82326


2 82326
3 41163
13721 13721
1

Prime factors of 82326 are 2, 3,13721. Prime factorization of 82326 in exponential form is:

82326 = 21×31×137211

Now multiplying the highest exponent prime factors to calculate the LCM of 82322 and 82326.

LCM(82322,82326) = 21×31×137211×411611
LCM(82322,82326) = 3388620486

Factors of 82322

List of positive integer factors of 82322 that divides 82322 without a remainder.

1, 2, 41161, 82322

Factors of 82326

List of positive integer factors of 82326 that divides 82326 without a remainder.

1, 2, 3, 6, 13721, 27442, 41163, 82326

Least Common Multiple of 82322 and 82326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82322 and 82326, than apply into the LCM equation.

GCF(82322,82326) = 2
LCM(82322,82326) = ( 82322 × 82326) / 2
LCM(82322,82326) = 6777240972 / 2
LCM(82322,82326) = 3388620486

Properties of LCM 82322 and 82326

(i) The LCM of 82326 and 82322 is associative

LCM of 82322 and 82326 = LCM of 82326 and 82322

Related Least Common Multiples of 82322

Related Least Common Multiples of 82326

Frequently Asked Questions on LCM of 82322 and 82326

1. What is the LCM of 82322 and 82326?

Answer: LCM of 82322 and 82326 is 3388620486.

2. What are the Factors of 82322?

Answer: Factors of 82322 are 1, 2, 41161, 82322. There are 4 integers that are factors of 82322. The greatest factor of 82322 is 82322.

3. What are the Factors of 82326?

Answer: Factors of 82326 are 1, 2, 3, 6, 13721, 27442, 41163, 82326. There are 8 integers that are factors of 82326. The greatest factor of 82326 is 82326.

4. How to Find the LCM of 82322 and 82326?

Answer:

Least Common Multiple of 82322 and 82326 = 3388620486

Step 1: Find the prime factorization of 82322

82322 = 2 x 41161

Step 2: Find the prime factorization of 82326

82326 = 2 x 3 x 13721

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

LCM = 3388620486 = 2 x 3 x 13721 x 41161

Step 4: Therefore, the least common multiple of 82322 and 82326 is 3388620486.