Least Common Multiple of 82327 and 82335

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

• Least Common Multiple of 82327 and 82335 by Prime method
• Least Common Multiple of 82327 and 82335 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82327 and 82335. First we will calculate the prime factors of 82327 and 82335.

Prime Factorization of 82327

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

82327 = 7¹×19¹×619¹

Prime Factorization of 82335

Prime factors of 82335 are 3, 5, 11,499. Prime factorization of 82335 in exponential form is:

82335 = 3¹×5¹×11¹×499¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82327 and 82335.

LCM(82327,82335) = 3¹×5¹×7¹×11¹×19¹×499¹×619¹
LCM(82327,82335) = 6778393545

Factors of 82327

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

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

Factors of 82335

List of positive integer factors of 82335 that divides 82335 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 499, 1497, 2495, 5489, 7485, 16467, 27445, 82335

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82327 and 82335, than apply into the LCM equation.

GCF(82327,82335) = 1
LCM(82327,82335) = ( 82327 × 82335) / 1
LCM(82327,82335) = 6778393545 / 1
LCM(82327,82335) = 6778393545

(i) The LCM of 82335 and 82327 is associative

LCM of 82327 and 82335 = LCM of 82335 and 82327

1. What is the LCM of 82327 and 82335?

Answer: LCM of 82327 and 82335 is 6778393545.

2. 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.

3. What are the Factors of 82335?

Answer: Factors of 82335 are 1, 3, 5, 11, 15, 33, 55, 165, 499, 1497, 2495, 5489, 7485, 16467, 27445, 82335. There are 16 integers that are factors of 82335. The greatest factor of 82335 is 82335.

4. How to Find the LCM of 82327 and 82335?

Answer:

Least Common Multiple of 82327 and 82335 = 6778393545

Step 1: Find the prime factorization of 82327

82327 = 7 x 19 x 619

Step 2: Find the prime factorization of 82335

82335 = 3 x 5 x 11 x 499

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

LCM = 6778393545 = 3 x 5 x 7 x 11 x 19 x 499 x 619

Step 4: Therefore, the least common multiple of 82327 and 82335 is 6778393545.