Least Common Multiple of 82347 and 82351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82347 and 82351 the smallest integer that is 6781357797 that is divisible by both numbers.

Least Common Multiple (LCM) of 82347 and 82351 is 6781357797.

LCM(82347,82351) = 6781357797

LCM of 82347 and 82351

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

LCM of:
and

Least Common Multiple of 82347 and 82351

LCM of 82347 and 82351 is 6781357797

Least common multiple can be found by multiplying the highest exponent prime factors of 82347 and 82351. First we will calculate the prime factors of 82347 and 82351.

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

Prime Factorization of 82351


82351 82351
1

Prime factors of 82351 are 82351. Prime factorization of 82351 in exponential form is:

82351 = 823511

Now multiplying the highest exponent prime factors to calculate the LCM of 82347 and 82351.

LCM(82347,82351) = 31×274491×823511
LCM(82347,82351) = 6781357797

Factors of 82347

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

1, 3, 27449, 82347

Factors of 82351

List of positive integer factors of 82351 that divides 82351 without a remainder.

1, 82351

Least Common Multiple of 82347 and 82351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82347 and 82351, than apply into the LCM equation.

GCF(82347,82351) = 1
LCM(82347,82351) = ( 82347 × 82351) / 1
LCM(82347,82351) = 6781357797 / 1
LCM(82347,82351) = 6781357797

Properties of LCM 82347 and 82351

(i) The LCM of 82351 and 82347 is associative

LCM of 82347 and 82351 = LCM of 82351 and 82347

Related Least Common Multiples of 82347

Related Least Common Multiples of 82351

Frequently Asked Questions on LCM of 82347 and 82351

1. What is the LCM of 82347 and 82351?

Answer: LCM of 82347 and 82351 is 6781357797.

2. 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.

3. What are the Factors of 82351?

Answer: Factors of 82351 are 1, 82351. There are 2 integers that are factors of 82351. The greatest factor of 82351 is 82351.

4. How to Find the LCM of 82347 and 82351?

Answer:

Least Common Multiple of 82347 and 82351 = 6781357797

Step 1: Find the prime factorization of 82347

82347 = 3 x 27449

Step 2: Find the prime factorization of 82351

82351 = 82351

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

LCM = 6781357797 = 3 x 27449 x 82351

Step 4: Therefore, the least common multiple of 82347 and 82351 is 6781357797.