Least Common Multiple of 82368 and 82376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82368 and 82376 the smallest integer that is 848143296 that is divisible by both numbers.

Least Common Multiple (LCM) of 82368 and 82376 is 848143296.

LCM(82368,82376) = 848143296

LCM of 82368 and 82376

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

LCM of:
and

Least Common Multiple of 82368 and 82376

LCM of 82368 and 82376 is 848143296

Least common multiple can be found by multiplying the highest exponent prime factors of 82368 and 82376. First we will calculate the prime factors of 82368 and 82376.

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

Prime Factorization of 82376


2 82376
2 41188
2 20594
7 10297
1471 1471
1

Prime factors of 82376 are 2, 7,1471. Prime factorization of 82376 in exponential form is:

82376 = 23×71×14711

Now multiplying the highest exponent prime factors to calculate the LCM of 82368 and 82376.

LCM(82368,82376) = 26×32×71×111×131×14711
LCM(82368,82376) = 848143296

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

Factors of 82376

List of positive integer factors of 82376 that divides 82376 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1471, 2942, 5884, 10297, 11768, 20594, 41188, 82376

Least Common Multiple of 82368 and 82376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82368 and 82376, than apply into the LCM equation.

GCF(82368,82376) = 8
LCM(82368,82376) = ( 82368 × 82376) / 8
LCM(82368,82376) = 6785146368 / 8
LCM(82368,82376) = 848143296

Properties of LCM 82368 and 82376

(i) The LCM of 82376 and 82368 is associative

LCM of 82368 and 82376 = LCM of 82376 and 82368

Related Least Common Multiples of 82368

Related Least Common Multiples of 82376

Frequently Asked Questions on LCM of 82368 and 82376

1. What is the LCM of 82368 and 82376?

Answer: LCM of 82368 and 82376 is 848143296.

2. 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.

3. What are the Factors of 82376?

Answer: Factors of 82376 are 1, 2, 4, 7, 8, 14, 28, 56, 1471, 2942, 5884, 10297, 11768, 20594, 41188, 82376. There are 16 integers that are factors of 82376. The greatest factor of 82376 is 82376.

4. How to Find the LCM of 82368 and 82376?

Answer:

Least Common Multiple of 82368 and 82376 = 848143296

Step 1: 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 2: Find the prime factorization of 82376

82376 = 2 x 2 x 2 x 7 x 1471

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

LCM = 848143296 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13 x 1471

Step 4: Therefore, the least common multiple of 82368 and 82376 is 848143296.