Least Common Multiple of 82322 and 82328

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 82328 the smallest integer that is 3388702808 that is divisible by both numbers.

Least Common Multiple (LCM) of 82322 and 82328 is 3388702808.

LCM(82322,82328) = 3388702808

LCM of 82322 and 82328

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

LCM of:
and

Least Common Multiple of 82322 and 82328

LCM of 82322 and 82328 is 3388702808

Least common multiple can be found by multiplying the highest exponent prime factors of 82322 and 82328. First we will calculate the prime factors of 82322 and 82328.

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 82328


2 82328
2 41164
2 20582
41 10291
251 251
1

Prime factors of 82328 are 2, 41,251. Prime factorization of 82328 in exponential form is:

82328 = 23×411×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 82322 and 82328.

LCM(82322,82328) = 23×411×2511×411611
LCM(82322,82328) = 3388702808

Factors of 82322

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

1, 2, 41161, 82322

Factors of 82328

List of positive integer factors of 82328 that divides 82328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 251, 328, 502, 1004, 2008, 10291, 20582, 41164, 82328

Least Common Multiple of 82322 and 82328 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 82328, than apply into the LCM equation.

GCF(82322,82328) = 2
LCM(82322,82328) = ( 82322 × 82328) / 2
LCM(82322,82328) = 6777405616 / 2
LCM(82322,82328) = 3388702808

Properties of LCM 82322 and 82328

(i) The LCM of 82328 and 82322 is associative

LCM of 82322 and 82328 = LCM of 82328 and 82322

Related Least Common Multiples of 82322

Related Least Common Multiples of 82328

Frequently Asked Questions on LCM of 82322 and 82328

1. What is the LCM of 82322 and 82328?

Answer: LCM of 82322 and 82328 is 3388702808.

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 82328?

Answer: Factors of 82328 are 1, 2, 4, 8, 41, 82, 164, 251, 328, 502, 1004, 2008, 10291, 20582, 41164, 82328. There are 16 integers that are factors of 82328. The greatest factor of 82328 is 82328.

4. How to Find the LCM of 82322 and 82328?

Answer:

Least Common Multiple of 82322 and 82328 = 3388702808

Step 1: Find the prime factorization of 82322

82322 = 2 x 41161

Step 2: Find the prime factorization of 82328

82328 = 2 x 2 x 2 x 41 x 251

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

LCM = 3388702808 = 2 x 2 x 2 x 41 x 251 x 41161

Step 4: Therefore, the least common multiple of 82322 and 82328 is 3388702808.