Least Common Multiple of 82328 and 82332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82328 and 82332 the smallest integer that is 1694557224 that is divisible by both numbers.

Least Common Multiple (LCM) of 82328 and 82332 is 1694557224.

LCM(82328,82332) = 1694557224

LCM of 82328 and 82332

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

LCM of:
and

Least Common Multiple of 82328 and 82332

LCM of 82328 and 82332 is 1694557224

Least common multiple can be found by multiplying the highest exponent prime factors of 82328 and 82332. First we will calculate the prime factors of 82328 and 82332.

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

Prime Factorization of 82332


2 82332
2 41166
3 20583
3 6861
2287 2287
1

Prime factors of 82332 are 2, 3,2287. Prime factorization of 82332 in exponential form is:

82332 = 22×32×22871

Now multiplying the highest exponent prime factors to calculate the LCM of 82328 and 82332.

LCM(82328,82332) = 23×32×411×2511×22871
LCM(82328,82332) = 1694557224

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

Factors of 82332

List of positive integer factors of 82332 that divides 82332 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2287, 4574, 6861, 9148, 13722, 20583, 27444, 41166, 82332

Least Common Multiple of 82328 and 82332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82328 and 82332, than apply into the LCM equation.

GCF(82328,82332) = 4
LCM(82328,82332) = ( 82328 × 82332) / 4
LCM(82328,82332) = 6778228896 / 4
LCM(82328,82332) = 1694557224

Properties of LCM 82328 and 82332

(i) The LCM of 82332 and 82328 is associative

LCM of 82328 and 82332 = LCM of 82332 and 82328

Related Least Common Multiples of 82328

Related Least Common Multiples of 82332

Frequently Asked Questions on LCM of 82328 and 82332

1. What is the LCM of 82328 and 82332?

Answer: LCM of 82328 and 82332 is 1694557224.

2. 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.

3. What are the Factors of 82332?

Answer: Factors of 82332 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 2287, 4574, 6861, 9148, 13722, 20583, 27444, 41166, 82332. There are 18 integers that are factors of 82332. The greatest factor of 82332 is 82332.

4. How to Find the LCM of 82328 and 82332?

Answer:

Least Common Multiple of 82328 and 82332 = 1694557224

Step 1: Find the prime factorization of 82328

82328 = 2 x 2 x 2 x 41 x 251

Step 2: Find the prime factorization of 82332

82332 = 2 x 2 x 3 x 3 x 2287

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

LCM = 1694557224 = 2 x 2 x 2 x 3 x 3 x 41 x 251 x 2287

Step 4: Therefore, the least common multiple of 82328 and 82332 is 1694557224.