Least Common Multiple of 26322 and 26330

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

• Least Common Multiple of 26322 and 26330 by Prime method
• Least Common Multiple of 26322 and 26330 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 26322 and 26330. First we will calculate the prime factors of 26322 and 26330.

Prime Factorization of 26322

Prime factors of 26322 are 2, 3, 41,107. Prime factorization of 26322 in exponential form is:

26322 = 2¹×3¹×41¹×107¹

Prime Factorization of 26330

Prime factors of 26330 are 2, 5,2633. Prime factorization of 26330 in exponential form is:

26330 = 2¹×5¹×2633¹

Now multiplying the highest exponent prime factors to calculate the LCM of 26322 and 26330.

LCM(26322,26330) = 2¹×3¹×5¹×41¹×107¹×2633¹
LCM(26322,26330) = 346529130

Factors of 26322

List of positive integer factors of 26322 that divides 26322 without a remainder.

1, 2, 3, 6, 41, 82, 107, 123, 214, 246, 321, 642, 4387, 8774, 13161, 26322

Factors of 26330

List of positive integer factors of 26330 that divides 26330 without a remainder.

1, 2, 5, 10, 2633, 5266, 13165, 26330

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26322 and 26330, than apply into the LCM equation.

GCF(26322,26330) = 2
LCM(26322,26330) = ( 26322 × 26330) / 2
LCM(26322,26330) = 693058260 / 2
LCM(26322,26330) = 346529130

(i) The LCM of 26330 and 26322 is associative

LCM of 26322 and 26330 = LCM of 26330 and 26322

1. What is the LCM of 26322 and 26330?

Answer: LCM of 26322 and 26330 is 346529130.

2. What are the Factors of 26322?

Answer: Factors of 26322 are 1, 2, 3, 6, 41, 82, 107, 123, 214, 246, 321, 642, 4387, 8774, 13161, 26322. There are 16 integers that are factors of 26322. The greatest factor of 26322 is 26322.

3. What are the Factors of 26330?

Answer: Factors of 26330 are 1, 2, 5, 10, 2633, 5266, 13165, 26330. There are 8 integers that are factors of 26330. The greatest factor of 26330 is 26330.

4. How to Find the LCM of 26322 and 26330?

Answer:

Least Common Multiple of 26322 and 26330 = 346529130

Step 1: Find the prime factorization of 26322

26322 = 2 x 3 x 41 x 107

Step 2: Find the prime factorization of 26330

26330 = 2 x 5 x 2633

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

LCM = 346529130 = 2 x 3 x 5 x 41 x 107 x 2633

Step 4: Therefore, the least common multiple of 26322 and 26330 is 346529130.