Least Common Multiple of 26320 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 26320 and 26326 the smallest integer that is 346450160 that is divisible by both numbers.

Least Common Multiple (LCM) of 26320 and 26326 is 346450160.

LCM(26320,26326) = 346450160

LCM of 26320 and 26326

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

LCM of:
and

Least Common Multiple of 26320 and 26326

LCM of 26320 and 26326 is 346450160

Least common multiple can be found by multiplying the highest exponent prime factors of 26320 and 26326. First we will calculate the prime factors of 26320 and 26326.

Prime Factorization of 26320


2 26320
2 13160
2 6580
2 3290
5 1645
7 329
47 47
1

Prime factors of 26320 are 2, 5, 7,47. Prime factorization of 26320 in exponential form is:

26320 = 24×51×71×471

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 26320 and 26326.

LCM(26320,26326) = 24×51×71×471×131631
LCM(26320,26326) = 346450160

Factors of 26320

List of positive integer factors of 26320 that divides 26320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 47, 56, 70, 80, 94, 112, 140, 188, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1316, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 13160, 26320

Factors of 26326

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

1, 2, 13163, 26326

Least Common Multiple of 26320 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 26320 and 26326, than apply into the LCM equation.

GCF(26320,26326) = 2
LCM(26320,26326) = ( 26320 × 26326) / 2
LCM(26320,26326) = 692900320 / 2
LCM(26320,26326) = 346450160

Properties of LCM 26320 and 26326

(i) The LCM of 26326 and 26320 is associative

LCM of 26320 and 26326 = LCM of 26326 and 26320

Related Least Common Multiples of 26320

Related Least Common Multiples of 26326

Frequently Asked Questions on LCM of 26320 and 26326

1. What is the LCM of 26320 and 26326?

Answer: LCM of 26320 and 26326 is 346450160.

2. What are the Factors of 26320?

Answer: Factors of 26320 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 47, 56, 70, 80, 94, 112, 140, 188, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1316, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 13160, 26320. There are 40 integers that are factors of 26320. The greatest factor of 26320 is 26320.

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 26320 and 26326?

Answer:

Least Common Multiple of 26320 and 26326 = 346450160

Step 1: Find the prime factorization of 26320

26320 = 2 x 2 x 2 x 2 x 5 x 7 x 47

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 = 346450160 = 2 x 2 x 2 x 2 x 5 x 7 x 47 x 13163

Step 4: Therefore, the least common multiple of 26320 and 26326 is 346450160.