Least Common Multiple of 82361 and 82369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82361 and 82369 the smallest integer that is 6783993209 that is divisible by both numbers.

Least Common Multiple (LCM) of 82361 and 82369 is 6783993209.

LCM(82361,82369) = 6783993209

LCM of 82361 and 82369

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

LCM of:
and

Least Common Multiple of 82361 and 82369

LCM of 82361 and 82369 is 6783993209

Least common multiple can be found by multiplying the highest exponent prime factors of 82361 and 82369. First we will calculate the prime factors of 82361 and 82369.

Prime Factorization of 82361


82361 82361
1

Prime factors of 82361 are 82361. Prime factorization of 82361 in exponential form is:

82361 = 823611

Prime Factorization of 82369


7 82369
7 11767
41 1681
41 41
1

Prime factors of 82369 are 7,41. Prime factorization of 82369 in exponential form is:

82369 = 72×412

Now multiplying the highest exponent prime factors to calculate the LCM of 82361 and 82369.

LCM(82361,82369) = 72×412×823611
LCM(82361,82369) = 6783993209

Factors of 82361

List of positive integer factors of 82361 that divides 82361 without a remainder.

1, 82361

Factors of 82369

List of positive integer factors of 82369 that divides 82369 without a remainder.

1, 7, 41, 49, 287, 1681, 2009, 11767, 82369

Least Common Multiple of 82361 and 82369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82361 and 82369, than apply into the LCM equation.

GCF(82361,82369) = 1
LCM(82361,82369) = ( 82361 × 82369) / 1
LCM(82361,82369) = 6783993209 / 1
LCM(82361,82369) = 6783993209

Properties of LCM 82361 and 82369

(i) The LCM of 82369 and 82361 is associative

LCM of 82361 and 82369 = LCM of 82369 and 82361

Related Least Common Multiples of 82361

Related Least Common Multiples of 82369

Frequently Asked Questions on LCM of 82361 and 82369

1. What is the LCM of 82361 and 82369?

Answer: LCM of 82361 and 82369 is 6783993209.

2. What are the Factors of 82361?

Answer: Factors of 82361 are 1, 82361. There are 2 integers that are factors of 82361. The greatest factor of 82361 is 82361.

3. What are the Factors of 82369?

Answer: Factors of 82369 are 1, 7, 41, 49, 287, 1681, 2009, 11767, 82369. There are 9 integers that are factors of 82369. The greatest factor of 82369 is 82369.

4. How to Find the LCM of 82361 and 82369?

Answer:

Least Common Multiple of 82361 and 82369 = 6783993209

Step 1: Find the prime factorization of 82361

82361 = 82361

Step 2: Find the prime factorization of 82369

82369 = 7 x 7 x 41 x 41

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

LCM = 6783993209 = 7 x 7 x 41 x 41 x 82361

Step 4: Therefore, the least common multiple of 82361 and 82369 is 6783993209.