Least Common Multiple of 26 and 27

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 27 the smallest integer that is 702 that is divisible by both numbers.

Least Common Multiple (LCM) of 26 and 27 is 702.

LCM(26,27) = 702

LCM of 26 and 27

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

LCM of:
and

Least Common Multiple of 26 and 27

LCM of 26 and 27 is 702

Least common multiple can be found by multiplying the highest exponent prime factors of 26 and 27. First we will calculate the prime factors of 26 and 27.

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 27


3 27
3 9
3 3
1

Prime factors of 27 are 3. Prime factorization of 27 in exponential form is:

27 = 33

Now multiplying the highest exponent prime factors to calculate the LCM of 26 and 27.

LCM(26,27) = 21×33×131
LCM(26,27) = 702

Factors of 26

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

1, 2, 13, 26

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Least Common Multiple of 26 and 27 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 27, than apply into the LCM equation.

GCF(26,27) = 1
LCM(26,27) = ( 26 × 27) / 1
LCM(26,27) = 702 / 1
LCM(26,27) = 702

Properties of LCM 26 and 27

(i) The LCM of 27 and 26 is associative

LCM of 26 and 27 = LCM of 27 and 26

Related Least Common Multiples of 26

Related Least Common Multiples of 27

Frequently Asked Questions on LCM of 26 and 27

1. What is the LCM of 26 and 27?

Answer: LCM of 26 and 27 is 702.

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 27?

Answer: Factors of 27 are 1, 3, 9, 27. There are 4 integers that are factors of 27. The greatest factor of 27 is 27.

4. How to Find the LCM of 26 and 27?

Answer:

Least Common Multiple of 26 and 27 = 702

Step 1: Find the prime factorization of 26

26 = 2 x 13

Step 2: Find the prime factorization of 27

27 = 3 x 3 x 3

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

LCM = 702 = 2 x 3 x 3 x 3 x 13

Step 4: Therefore, the least common multiple of 26 and 27 is 702.