Least Common Multiple of 26322 and 26329

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

• Least Common Multiple of 26322 and 26329 by Prime method
• Least Common Multiple of 26322 and 26329 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 26322 and 26329. First we will calculate the prime factors of 26322 and 26329.

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 26329

Prime factors of 26329 are 113,233. Prime factorization of 26329 in exponential form is:

26329 = 113¹×233¹

Now multiplying the highest exponent prime factors to calculate the LCM of 26322 and 26329.

LCM(26322,26329) = 2¹×3¹×41¹×107¹×113¹×233¹
LCM(26322,26329) = 693031938

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 26329

List of positive integer factors of 26329 that divides 26329 without a remainder.

1, 113, 233, 26329

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26322 and 26329, than apply into the LCM equation.

GCF(26322,26329) = 1
LCM(26322,26329) = ( 26322 × 26329) / 1
LCM(26322,26329) = 693031938 / 1
LCM(26322,26329) = 693031938

(i) The LCM of 26329 and 26322 is associative

LCM of 26322 and 26329 = LCM of 26329 and 26322

1. What is the LCM of 26322 and 26329?

Answer: LCM of 26322 and 26329 is 693031938.

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 26329?

Answer: Factors of 26329 are 1, 113, 233, 26329. There are 4 integers that are factors of 26329. The greatest factor of 26329 is 26329.

4. How to Find the LCM of 26322 and 26329?

Answer:

Least Common Multiple of 26322 and 26329 = 693031938

Step 1: Find the prime factorization of 26322

26322 = 2 x 3 x 41 x 107

Step 2: Find the prime factorization of 26329

26329 = 113 x 233

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

LCM = 693031938 = 2 x 3 x 41 x 107 x 113 x 233

Step 4: Therefore, the least common multiple of 26322 and 26329 is 693031938.