Least Common Multiple of 8 and 11

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 11 the smallest integer that is 88 that is divisible by both numbers.

Least Common Multiple (LCM) of 8 and 11 is 88.

LCM(8,11) = 88

LCM of 8 and 11

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

LCM of:
and

Least Common Multiple of 8 and 11

LCM of 8 and 11 is 88

Least common multiple can be found by multiplying the highest exponent prime factors of 8 and 11. First we will calculate the prime factors of 8 and 11.

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 11


11 11
1

Prime factors of 11 are 11. Prime factorization of 11 in exponential form is:

11 = 111

Now multiplying the highest exponent prime factors to calculate the LCM of 8 and 11.

LCM(8,11) = 23×111
LCM(8,11) = 88

Factors of 8

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

1, 2, 4, 8

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1, 11

Least Common Multiple of 8 and 11 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 11, than apply into the LCM equation.

GCF(8,11) = 1
LCM(8,11) = ( 8 × 11) / 1
LCM(8,11) = 88 / 1
LCM(8,11) = 88

Properties of LCM 8 and 11

(i) The LCM of 11 and 8 is associative

LCM of 8 and 11 = LCM of 11 and 8

Related Least Common Multiples of 8

Related Least Common Multiples of 11

Frequently Asked Questions on LCM of 8 and 11

1. What is the LCM of 8 and 11?

Answer: LCM of 8 and 11 is 88.

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 11?

Answer: Factors of 11 are 1, 11. There are 2 integers that are factors of 11. The greatest factor of 11 is 11.

4. How to Find the LCM of 8 and 11?

Answer:

Least Common Multiple of 8 and 11 = 88

Step 1: Find the prime factorization of 8

8 = 2 x 2 x 2

Step 2: Find the prime factorization of 11

11 = 11

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

LCM = 88 = 2 x 2 x 2 x 11

Step 4: Therefore, the least common multiple of 8 and 11 is 88.