Least Common Multiple of 82395 and 82402

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

• Least Common Multiple of 82395 and 82402 by Prime method
• Least Common Multiple of 82395 and 82402 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82395 and 82402. First we will calculate the prime factors of 82395 and 82402.

Prime Factorization of 82395

Prime factors of 82395 are 3, 5,1831. Prime factorization of 82395 in exponential form is:

82395 = 3²×5¹×1831¹

Prime Factorization of 82402

Prime factors of 82402 are 2,41201. Prime factorization of 82402 in exponential form is:

82402 = 2¹×41201¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82395 and 82402.

LCM(82395,82402) = 2¹×3²×5¹×1831¹×41201¹
LCM(82395,82402) = 6789512790

Factors of 82395

List of positive integer factors of 82395 that divides 82395 without a remainder.

1, 3, 5, 9, 15, 45, 1831, 5493, 9155, 16479, 27465, 82395

Factors of 82402

List of positive integer factors of 82402 that divides 82402 without a remainder.

1, 2, 41201, 82402

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82395 and 82402, than apply into the LCM equation.

GCF(82395,82402) = 1
LCM(82395,82402) = ( 82395 × 82402) / 1
LCM(82395,82402) = 6789512790 / 1
LCM(82395,82402) = 6789512790

(i) The LCM of 82402 and 82395 is associative

LCM of 82395 and 82402 = LCM of 82402 and 82395

1. What is the LCM of 82395 and 82402?

Answer: LCM of 82395 and 82402 is 6789512790.

2. What are the Factors of 82395?

Answer: Factors of 82395 are 1, 3, 5, 9, 15, 45, 1831, 5493, 9155, 16479, 27465, 82395. There are 12 integers that are factors of 82395. The greatest factor of 82395 is 82395.

3. What are the Factors of 82402?

Answer: Factors of 82402 are 1, 2, 41201, 82402. There are 4 integers that are factors of 82402. The greatest factor of 82402 is 82402.

4. How to Find the LCM of 82395 and 82402?

Answer:

Least Common Multiple of 82395 and 82402 = 6789512790

Step 1: Find the prime factorization of 82395

82395 = 3 x 3 x 5 x 1831

Step 2: Find the prime factorization of 82402

82402 = 2 x 41201

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

LCM = 6789512790 = 2 x 3 x 3 x 5 x 1831 x 41201

Step 4: Therefore, the least common multiple of 82395 and 82402 is 6789512790.