Least Common Multiple of 82361 and 82368

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 82368 the smallest integer that is 6783910848 that is divisible by both numbers.

Least Common Multiple (LCM) of 82361 and 82368 is 6783910848.

LCM(82361,82368) = 6783910848

LCM of 82361 and 82368

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

LCM of:
and

Least Common Multiple of 82361 and 82368

LCM of 82361 and 82368 is 6783910848

Least common multiple can be found by multiplying the highest exponent prime factors of 82361 and 82368. First we will calculate the prime factors of 82361 and 82368.

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 82368


2 82368
2 41184
2 20592
2 10296
2 5148
2 2574
3 1287
3 429
11 143
13 13
1

Prime factors of 82368 are 2, 3, 11,13. Prime factorization of 82368 in exponential form is:

82368 = 26×32×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 82361 and 82368.

LCM(82361,82368) = 26×32×111×131×823611
LCM(82361,82368) = 6783910848

Factors of 82361

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

1, 82361

Factors of 82368

List of positive integer factors of 82368 that divides 82368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 16, 18, 22, 24, 26, 32, 33, 36, 39, 44, 48, 52, 64, 66, 72, 78, 88, 96, 99, 104, 117, 132, 143, 144, 156, 176, 192, 198, 208, 234, 264, 286, 288, 312, 352, 396, 416, 429, 468, 528, 572, 576, 624, 704, 792, 832, 858, 936, 1056, 1144, 1248, 1287, 1584, 1716, 1872, 2112, 2288, 2496, 2574, 3168, 3432, 3744, 4576, 5148, 6336, 6864, 7488, 9152, 10296, 13728, 20592, 27456, 41184, 82368

Least Common Multiple of 82361 and 82368 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 82368, than apply into the LCM equation.

GCF(82361,82368) = 1
LCM(82361,82368) = ( 82361 × 82368) / 1
LCM(82361,82368) = 6783910848 / 1
LCM(82361,82368) = 6783910848

Properties of LCM 82361 and 82368

(i) The LCM of 82368 and 82361 is associative

LCM of 82361 and 82368 = LCM of 82368 and 82361

Related Least Common Multiples of 82361

Related Least Common Multiples of 82368

Frequently Asked Questions on LCM of 82361 and 82368

1. What is the LCM of 82361 and 82368?

Answer: LCM of 82361 and 82368 is 6783910848.

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 82368?

Answer: Factors of 82368 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 16, 18, 22, 24, 26, 32, 33, 36, 39, 44, 48, 52, 64, 66, 72, 78, 88, 96, 99, 104, 117, 132, 143, 144, 156, 176, 192, 198, 208, 234, 264, 286, 288, 312, 352, 396, 416, 429, 468, 528, 572, 576, 624, 704, 792, 832, 858, 936, 1056, 1144, 1248, 1287, 1584, 1716, 1872, 2112, 2288, 2496, 2574, 3168, 3432, 3744, 4576, 5148, 6336, 6864, 7488, 9152, 10296, 13728, 20592, 27456, 41184, 82368. There are 84 integers that are factors of 82368. The greatest factor of 82368 is 82368.

4. How to Find the LCM of 82361 and 82368?

Answer:

Least Common Multiple of 82361 and 82368 = 6783910848

Step 1: Find the prime factorization of 82361

82361 = 82361

Step 2: Find the prime factorization of 82368

82368 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 13

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

LCM = 6783910848 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 13 x 82361

Step 4: Therefore, the least common multiple of 82361 and 82368 is 6783910848.