Least Common Multiple of 26322 and 26326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26322 and 26326 the smallest integer that is 346476486 that is divisible by both numbers.

Least Common Multiple (LCM) of 26322 and 26326 is 346476486.

LCM(26322,26326) = 346476486

LCM of 26322 and 26326

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

LCM of:
and

Least Common Multiple of 26322 and 26326

LCM of 26322 and 26326 is 346476486

Least common multiple can be found by multiplying the highest exponent prime factors of 26322 and 26326. First we will calculate the prime factors of 26322 and 26326.

Prime Factorization of 26322


2 26322
3 13161
41 4387
107 107
1

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 26326


2 26326
13163 13163
1

Prime factors of 26326 are 2,13163. Prime factorization of 26326 in exponential form is:

26326 = 21×131631

Now multiplying the highest exponent prime factors to calculate the LCM of 26322 and 26326.

LCM(26322,26326) = 21×31×411×1071×131631
LCM(26322,26326) = 346476486

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 26326

List of positive integer factors of 26326 that divides 26326 without a remainder.

1, 2, 13163, 26326

Least Common Multiple of 26322 and 26326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26322 and 26326, than apply into the LCM equation.

GCF(26322,26326) = 2
LCM(26322,26326) = ( 26322 × 26326) / 2
LCM(26322,26326) = 692952972 / 2
LCM(26322,26326) = 346476486

Properties of LCM 26322 and 26326

(i) The LCM of 26326 and 26322 is associative

LCM of 26322 and 26326 = LCM of 26326 and 26322

Related Least Common Multiples of 26322

Related Least Common Multiples of 26326

Frequently Asked Questions on LCM of 26322 and 26326

1. What is the LCM of 26322 and 26326?

Answer: LCM of 26322 and 26326 is 346476486.

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 26326?

Answer: Factors of 26326 are 1, 2, 13163, 26326. There are 4 integers that are factors of 26326. The greatest factor of 26326 is 26326.

4. How to Find the LCM of 26322 and 26326?

Answer:

Least Common Multiple of 26322 and 26326 = 346476486

Step 1: Find the prime factorization of 26322

26322 = 2 x 3 x 41 x 107

Step 2: Find the prime factorization of 26326

26326 = 2 x 13163

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

LCM = 346476486 = 2 x 3 x 41 x 107 x 13163

Step 4: Therefore, the least common multiple of 26322 and 26326 is 346476486.