Least Common Multiple of 82322 and 82327

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

• Least Common Multiple of 82322 and 82327 by Prime method
• Least Common Multiple of 82322 and 82327 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82322 and 82327. First we will calculate the prime factors of 82322 and 82327.

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 82327

Prime factors of 82327 are 7, 19,619. Prime factorization of 82327 in exponential form is:

82327 = 7¹×19¹×619¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82322 and 82327.

LCM(82322,82327) = 2¹×7¹×19¹×619¹×41161¹
LCM(82322,82327) = 6777323294

Factors of 82322

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

1, 2, 41161, 82322

Factors of 82327

List of positive integer factors of 82327 that divides 82327 without a remainder.

1, 7, 19, 133, 619, 4333, 11761, 82327

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82322 and 82327, than apply into the LCM equation.

GCF(82322,82327) = 1
LCM(82322,82327) = ( 82322 × 82327) / 1
LCM(82322,82327) = 6777323294 / 1
LCM(82322,82327) = 6777323294

(i) The LCM of 82327 and 82322 is associative

LCM of 82322 and 82327 = LCM of 82327 and 82322

1. What is the LCM of 82322 and 82327?

Answer: LCM of 82322 and 82327 is 6777323294.

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 82327?

Answer: Factors of 82327 are 1, 7, 19, 133, 619, 4333, 11761, 82327. There are 8 integers that are factors of 82327. The greatest factor of 82327 is 82327.

4. How to Find the LCM of 82322 and 82327?

Answer:

Least Common Multiple of 82322 and 82327 = 6777323294

Step 1: Find the prime factorization of 82322

82322 = 2 x 41161

Step 2: Find the prime factorization of 82327

82327 = 7 x 19 x 619

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

LCM = 6777323294 = 2 x 7 x 19 x 619 x 41161

Step 4: Therefore, the least common multiple of 82322 and 82327 is 6777323294.