Least Common Multiple of 82339 and 82347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82339 and 82347 the smallest integer that is 6780369633 that is divisible by both numbers.

Least Common Multiple (LCM) of 82339 and 82347 is 6780369633.

LCM(82339,82347) = 6780369633

LCM of 82339 and 82347

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

LCM of:
and

Least Common Multiple of 82339 and 82347

LCM of 82339 and 82347 is 6780369633

Least common multiple can be found by multiplying the highest exponent prime factors of 82339 and 82347. First we will calculate the prime factors of 82339 and 82347.

Prime Factorization of 82339


82339 82339
1

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

82339 = 823391

Prime Factorization of 82347


3 82347
27449 27449
1

Prime factors of 82347 are 3,27449. Prime factorization of 82347 in exponential form is:

82347 = 31×274491

Now multiplying the highest exponent prime factors to calculate the LCM of 82339 and 82347.

LCM(82339,82347) = 31×274491×823391
LCM(82339,82347) = 6780369633

Factors of 82339

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

1, 82339

Factors of 82347

List of positive integer factors of 82347 that divides 82347 without a remainder.

1, 3, 27449, 82347

Least Common Multiple of 82339 and 82347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82339 and 82347, than apply into the LCM equation.

GCF(82339,82347) = 1
LCM(82339,82347) = ( 82339 × 82347) / 1
LCM(82339,82347) = 6780369633 / 1
LCM(82339,82347) = 6780369633

Properties of LCM 82339 and 82347

(i) The LCM of 82347 and 82339 is associative

LCM of 82339 and 82347 = LCM of 82347 and 82339

Related Least Common Multiples of 82339

Related Least Common Multiples of 82347

Frequently Asked Questions on LCM of 82339 and 82347

1. What is the LCM of 82339 and 82347?

Answer: LCM of 82339 and 82347 is 6780369633.

2. 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.

3. What are the Factors of 82347?

Answer: Factors of 82347 are 1, 3, 27449, 82347. There are 4 integers that are factors of 82347. The greatest factor of 82347 is 82347.

4. How to Find the LCM of 82339 and 82347?

Answer:

Least Common Multiple of 82339 and 82347 = 6780369633

Step 1: Find the prime factorization of 82339

82339 = 82339

Step 2: Find the prime factorization of 82347

82347 = 3 x 27449

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

LCM = 6780369633 = 3 x 27449 x 82339

Step 4: Therefore, the least common multiple of 82339 and 82347 is 6780369633.