Least Common Multiple of 82338 and 82344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82338 and 82344 the smallest integer that is 1130006712 that is divisible by both numbers.

Least Common Multiple (LCM) of 82338 and 82344 is 1130006712.

LCM(82338,82344) = 1130006712

LCM of 82338 and 82344

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

LCM of:
and

Least Common Multiple of 82338 and 82344

LCM of 82338 and 82344 is 1130006712

Least common multiple can be found by multiplying the highest exponent prime factors of 82338 and 82344. First we will calculate the prime factors of 82338 and 82344.

Prime Factorization of 82338


2 82338
3 41169
13723 13723
1

Prime factors of 82338 are 2, 3,13723. Prime factorization of 82338 in exponential form is:

82338 = 21×31×137231

Prime Factorization of 82344


2 82344
2 41172
2 20586
3 10293
47 3431
73 73
1

Prime factors of 82344 are 2, 3, 47,73. Prime factorization of 82344 in exponential form is:

82344 = 23×31×471×731

Now multiplying the highest exponent prime factors to calculate the LCM of 82338 and 82344.

LCM(82338,82344) = 23×31×471×731×137231
LCM(82338,82344) = 1130006712

Factors of 82338

List of positive integer factors of 82338 that divides 82338 without a remainder.

1, 2, 3, 6, 13723, 27446, 41169, 82338

Factors of 82344

List of positive integer factors of 82344 that divides 82344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 73, 94, 141, 146, 188, 219, 282, 292, 376, 438, 564, 584, 876, 1128, 1752, 3431, 6862, 10293, 13724, 20586, 27448, 41172, 82344

Least Common Multiple of 82338 and 82344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82338 and 82344, than apply into the LCM equation.

GCF(82338,82344) = 6
LCM(82338,82344) = ( 82338 × 82344) / 6
LCM(82338,82344) = 6780040272 / 6
LCM(82338,82344) = 1130006712

Properties of LCM 82338 and 82344

(i) The LCM of 82344 and 82338 is associative

LCM of 82338 and 82344 = LCM of 82344 and 82338

Related Least Common Multiples of 82338

Related Least Common Multiples of 82344

Frequently Asked Questions on LCM of 82338 and 82344

1. What is the LCM of 82338 and 82344?

Answer: LCM of 82338 and 82344 is 1130006712.

2. What are the Factors of 82338?

Answer: Factors of 82338 are 1, 2, 3, 6, 13723, 27446, 41169, 82338. There are 8 integers that are factors of 82338. The greatest factor of 82338 is 82338.

3. What are the Factors of 82344?

Answer: Factors of 82344 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 73, 94, 141, 146, 188, 219, 282, 292, 376, 438, 564, 584, 876, 1128, 1752, 3431, 6862, 10293, 13724, 20586, 27448, 41172, 82344. There are 32 integers that are factors of 82344. The greatest factor of 82344 is 82344.

4. How to Find the LCM of 82338 and 82344?

Answer:

Least Common Multiple of 82338 and 82344 = 1130006712

Step 1: Find the prime factorization of 82338

82338 = 2 x 3 x 13723

Step 2: Find the prime factorization of 82344

82344 = 2 x 2 x 2 x 3 x 47 x 73

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

LCM = 1130006712 = 2 x 2 x 2 x 3 x 47 x 73 x 13723

Step 4: Therefore, the least common multiple of 82338 and 82344 is 1130006712.