Least Common Multiple of 82332 and 82339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82332 and 82339 the smallest integer that is 6779134548 that is divisible by both numbers.

Least Common Multiple (LCM) of 82332 and 82339 is 6779134548.

LCM(82332,82339) = 6779134548

LCM of 82332 and 82339

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

LCM of:
and

Least Common Multiple of 82332 and 82339

LCM of 82332 and 82339 is 6779134548

Least common multiple can be found by multiplying the highest exponent prime factors of 82332 and 82339. First we will calculate the prime factors of 82332 and 82339.

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

Prime Factorization of 82339


82339 82339
1

Prime factors of 82339 are 82339. Prime factorization of 82339 in exponential form is:

82339 = 823391

Now multiplying the highest exponent prime factors to calculate the LCM of 82332 and 82339.

LCM(82332,82339) = 22×32×22871×823391
LCM(82332,82339) = 6779134548

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

Factors of 82339

List of positive integer factors of 82339 that divides 82339 without a remainder.

1, 82339

Least Common Multiple of 82332 and 82339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82332 and 82339, than apply into the LCM equation.

GCF(82332,82339) = 1
LCM(82332,82339) = ( 82332 × 82339) / 1
LCM(82332,82339) = 6779134548 / 1
LCM(82332,82339) = 6779134548

Properties of LCM 82332 and 82339

(i) The LCM of 82339 and 82332 is associative

LCM of 82332 and 82339 = LCM of 82339 and 82332

Related Least Common Multiples of 82332

Related Least Common Multiples of 82339

Frequently Asked Questions on LCM of 82332 and 82339

1. What is the LCM of 82332 and 82339?

Answer: LCM of 82332 and 82339 is 6779134548.

2. 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.

3. What are the Factors of 82339?

Answer: Factors of 82339 are 1, 82339. There are 2 integers that are factors of 82339. The greatest factor of 82339 is 82339.

4. How to Find the LCM of 82332 and 82339?

Answer:

Least Common Multiple of 82332 and 82339 = 6779134548

Step 1: Find the prime factorization of 82332

82332 = 2 x 2 x 3 x 3 x 2287

Step 2: Find the prime factorization of 82339

82339 = 82339

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

LCM = 6779134548 = 2 x 2 x 3 x 3 x 2287 x 82339

Step 4: Therefore, the least common multiple of 82332 and 82339 is 6779134548.