Least Common Multiple of 26 and 34

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 34 the smallest integer that is 442 that is divisible by both numbers.

Least Common Multiple (LCM) of 26 and 34 is 442.

LCM(26,34) = 442

LCM of 26 and 34

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

LCM of:
and

Least Common Multiple of 26 and 34

LCM of 26 and 34 is 442

Least common multiple can be found by multiplying the highest exponent prime factors of 26 and 34. First we will calculate the prime factors of 26 and 34.

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 34


2 34
17 17
1

Prime factors of 34 are 2,17. Prime factorization of 34 in exponential form is:

34 = 21×171

Now multiplying the highest exponent prime factors to calculate the LCM of 26 and 34.

LCM(26,34) = 21×131×171
LCM(26,34) = 442

Factors of 26

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

1, 2, 13, 26

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Least Common Multiple of 26 and 34 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 34, than apply into the LCM equation.

GCF(26,34) = 2
LCM(26,34) = ( 26 × 34) / 2
LCM(26,34) = 884 / 2
LCM(26,34) = 442

Properties of LCM 26 and 34

(i) The LCM of 34 and 26 is associative

LCM of 26 and 34 = LCM of 34 and 26

Related Least Common Multiples of 26

Related Least Common Multiples of 34

Frequently Asked Questions on LCM of 26 and 34

1. What is the LCM of 26 and 34?

Answer: LCM of 26 and 34 is 442.

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 34?

Answer: Factors of 34 are 1, 2, 17, 34. There are 4 integers that are factors of 34. The greatest factor of 34 is 34.

4. How to Find the LCM of 26 and 34?

Answer:

Least Common Multiple of 26 and 34 = 442

Step 1: Find the prime factorization of 26

26 = 2 x 13

Step 2: Find the prime factorization of 34

34 = 2 x 17

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

LCM = 442 = 2 x 13 x 17

Step 4: Therefore, the least common multiple of 26 and 34 is 442.