Least Common Multiple of 8 and 26

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8 and 26 the smallest integer that is 104 that is divisible by both numbers.

Least Common Multiple (LCM) of 8 and 26 is 104.

LCM(8,26) = 104

LCM of 8 and 26

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

LCM of:
and

Least Common Multiple of 8 and 26

LCM of 8 and 26 is 104

Least common multiple can be found by multiplying the highest exponent prime factors of 8 and 26. First we will calculate the prime factors of 8 and 26.

Prime Factorization of 8


2 8
2 4
2 2
1

Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:

8 = 23

Prime Factorization of 26


2 26
13 13
1

Prime factors of 26 are 2,13. Prime factorization of 26 in exponential form is:

26 = 21×131

Now multiplying the highest exponent prime factors to calculate the LCM of 8 and 26.

LCM(8,26) = 23×131
LCM(8,26) = 104

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Least Common Multiple of 8 and 26 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8 and 26, than apply into the LCM equation.

GCF(8,26) = 2
LCM(8,26) = ( 8 × 26) / 2
LCM(8,26) = 208 / 2
LCM(8,26) = 104

Properties of LCM 8 and 26

(i) The LCM of 26 and 8 is associative

LCM of 8 and 26 = LCM of 26 and 8

Related Least Common Multiples of 8

Related Least Common Multiples of 26

Frequently Asked Questions on LCM of 8 and 26

1. What is the LCM of 8 and 26?

Answer: LCM of 8 and 26 is 104.

2. What are the Factors of 8?

Answer: Factors of 8 are 1, 2, 4, 8. There are 4 integers that are factors of 8. The greatest factor of 8 is 8.

3. What are the Factors of 26?

Answer: Factors of 26 are 1, 2, 13, 26. There are 4 integers that are factors of 26. The greatest factor of 26 is 26.

4. How to Find the LCM of 8 and 26?

Answer:

Least Common Multiple of 8 and 26 = 104

Step 1: Find the prime factorization of 8

8 = 2 x 2 x 2

Step 2: Find the prime factorization of 26

26 = 2 x 13

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

LCM = 104 = 2 x 2 x 2 x 13

Step 4: Therefore, the least common multiple of 8 and 26 is 104.