Least Common Multiple of 82322 and 82329

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

• Least Common Multiple of 82322 and 82329 by Prime method
• Least Common Multiple of 82322 and 82329 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82322 and 82329. First we will calculate the prime factors of 82322 and 82329.

Prime Factorization of 82322

Prime factors of 82322 are 2,41161. Prime factorization of 82322 in exponential form is:

82322 = 2¹×41161¹

Prime Factorization of 82329

Prime factors of 82329 are 3, 13,2111. Prime factorization of 82329 in exponential form is:

82329 = 3¹×13¹×2111¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82322 and 82329.

LCM(82322,82329) = 2¹×3¹×13¹×2111¹×41161¹
LCM(82322,82329) = 6777487938

Factors of 82322

List of positive integer factors of 82322 that divides 82322 without a remainder.

1, 2, 41161, 82322

Factors of 82329

List of positive integer factors of 82329 that divides 82329 without a remainder.

1, 3, 13, 39, 2111, 6333, 27443, 82329

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82322 and 82329, than apply into the LCM equation.

GCF(82322,82329) = 1
LCM(82322,82329) = ( 82322 × 82329) / 1
LCM(82322,82329) = 6777487938 / 1
LCM(82322,82329) = 6777487938

(i) The LCM of 82329 and 82322 is associative

LCM of 82322 and 82329 = LCM of 82329 and 82322

1. What is the LCM of 82322 and 82329?

Answer: LCM of 82322 and 82329 is 6777487938.

2. What are the Factors of 82322?

Answer: Factors of 82322 are 1, 2, 41161, 82322. There are 4 integers that are factors of 82322. The greatest factor of 82322 is 82322.

3. What are the Factors of 82329?

Answer: Factors of 82329 are 1, 3, 13, 39, 2111, 6333, 27443, 82329. There are 8 integers that are factors of 82329. The greatest factor of 82329 is 82329.

4. How to Find the LCM of 82322 and 82329?

Answer:

Least Common Multiple of 82322 and 82329 = 6777487938

Step 1: Find the prime factorization of 82322

82322 = 2 x 41161

Step 2: Find the prime factorization of 82329

82329 = 3 x 13 x 2111

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

LCM = 6777487938 = 2 x 3 x 13 x 2111 x 41161

Step 4: Therefore, the least common multiple of 82322 and 82329 is 6777487938.