Least Common Multiple of 82338 and 82343

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

• Least Common Multiple of 82338 and 82343 by Prime method
• Least Common Multiple of 82338 and 82343 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82338 and 82343. First we will calculate the prime factors of 82338 and 82343.

Prime Factorization of 82338

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

82338 = 2¹×3¹×13723¹

Prime Factorization of 82343

Prime factors of 82343 are 67,1229. Prime factorization of 82343 in exponential form is:

82343 = 67¹×1229¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82338 and 82343.

LCM(82338,82343) = 2¹×3¹×67¹×1229¹×13723¹
LCM(82338,82343) = 6779957934

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 82343

List of positive integer factors of 82343 that divides 82343 without a remainder.

1, 67, 1229, 82343

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82338 and 82343, than apply into the LCM equation.

GCF(82338,82343) = 1
LCM(82338,82343) = ( 82338 × 82343) / 1
LCM(82338,82343) = 6779957934 / 1
LCM(82338,82343) = 6779957934

(i) The LCM of 82343 and 82338 is associative

LCM of 82338 and 82343 = LCM of 82343 and 82338

1. What is the LCM of 82338 and 82343?

Answer: LCM of 82338 and 82343 is 6779957934.

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 82343?

Answer: Factors of 82343 are 1, 67, 1229, 82343. There are 4 integers that are factors of 82343. The greatest factor of 82343 is 82343.

4. How to Find the LCM of 82338 and 82343?

Answer:

Least Common Multiple of 82338 and 82343 = 6779957934

Step 1: Find the prime factorization of 82338

82338 = 2 x 3 x 13723

Step 2: Find the prime factorization of 82343

82343 = 67 x 1229

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

LCM = 6779957934 = 2 x 3 x 67 x 1229 x 13723

Step 4: Therefore, the least common multiple of 82338 and 82343 is 6779957934.