Least Common Multiple of 26 and 28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26 and 28 the smallest integer that is 364 that is divisible by both numbers.

Least Common Multiple (LCM) of 26 and 28 is 364.

LCM(26,28) = 364

LCM of 26 and 28

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

LCM of:
and

Least Common Multiple of 26 and 28

LCM of 26 and 28 is 364

Least common multiple can be found by multiplying the highest exponent prime factors of 26 and 28. First we will calculate the prime factors of 26 and 28.

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

Prime Factorization of 28


2 28
2 14
7 7
1

Prime factors of 28 are 2,7. Prime factorization of 28 in exponential form is:

28 = 22×71

Now multiplying the highest exponent prime factors to calculate the LCM of 26 and 28.

LCM(26,28) = 22×71×131
LCM(26,28) = 364

Factors of 26

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

1, 2, 13, 26

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Least Common Multiple of 26 and 28 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26 and 28, than apply into the LCM equation.

GCF(26,28) = 2
LCM(26,28) = ( 26 × 28) / 2
LCM(26,28) = 728 / 2
LCM(26,28) = 364

Properties of LCM 26 and 28

(i) The LCM of 28 and 26 is associative

LCM of 26 and 28 = LCM of 28 and 26

Related Least Common Multiples of 26

Related Least Common Multiples of 28

Frequently Asked Questions on LCM of 26 and 28

1. What is the LCM of 26 and 28?

Answer: LCM of 26 and 28 is 364.

2. 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.

3. What are the Factors of 28?

Answer: Factors of 28 are 1, 2, 4, 7, 14, 28. There are 6 integers that are factors of 28. The greatest factor of 28 is 28.

4. How to Find the LCM of 26 and 28?

Answer:

Least Common Multiple of 26 and 28 = 364

Step 1: Find the prime factorization of 26

26 = 2 x 13

Step 2: Find the prime factorization of 28

28 = 2 x 2 x 7

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

LCM = 364 = 2 x 2 x 7 x 13

Step 4: Therefore, the least common multiple of 26 and 28 is 364.