Least Common Multiple of 11067 and 11072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11067 and 11072 the smallest integer that is 122533824 that is divisible by both numbers.

Least Common Multiple (LCM) of 11067 and 11072 is 122533824.

LCM(11067,11072) = 122533824

LCM of 11067 and 11072

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

LCM of:
and

Least Common Multiple of 11067 and 11072

LCM of 11067 and 11072 is 122533824

Least common multiple can be found by multiplying the highest exponent prime factors of 11067 and 11072. First we will calculate the prime factors of 11067 and 11072.

Prime Factorization of 11067


3 11067
7 3689
17 527
31 31
1

Prime factors of 11067 are 3, 7, 17,31. Prime factorization of 11067 in exponential form is:

11067 = 31×71×171×311

Prime Factorization of 11072


2 11072
2 5536
2 2768
2 1384
2 692
2 346
173 173
1

Prime factors of 11072 are 2,173. Prime factorization of 11072 in exponential form is:

11072 = 26×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 11067 and 11072.

LCM(11067,11072) = 26×31×71×171×311×1731
LCM(11067,11072) = 122533824

Factors of 11067

List of positive integer factors of 11067 that divides 11067 without a remainder.

1, 3, 7, 17, 21, 31, 51, 93, 119, 217, 357, 527, 651, 1581, 3689, 11067

Factors of 11072

List of positive integer factors of 11072 that divides 11072 without a remainder.

1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536, 11072

Least Common Multiple of 11067 and 11072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11067 and 11072, than apply into the LCM equation.

GCF(11067,11072) = 1
LCM(11067,11072) = ( 11067 × 11072) / 1
LCM(11067,11072) = 122533824 / 1
LCM(11067,11072) = 122533824

Properties of LCM 11067 and 11072

(i) The LCM of 11072 and 11067 is associative

LCM of 11067 and 11072 = LCM of 11072 and 11067

Related Least Common Multiples of 11067

Related Least Common Multiples of 11072

Frequently Asked Questions on LCM of 11067 and 11072

1. What is the LCM of 11067 and 11072?

Answer: LCM of 11067 and 11072 is 122533824.

2. What are the Factors of 11067?

Answer: Factors of 11067 are 1, 3, 7, 17, 21, 31, 51, 93, 119, 217, 357, 527, 651, 1581, 3689, 11067. There are 16 integers that are factors of 11067. The greatest factor of 11067 is 11067.

3. What are the Factors of 11072?

Answer: Factors of 11072 are 1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536, 11072. There are 14 integers that are factors of 11072. The greatest factor of 11072 is 11072.

4. How to Find the LCM of 11067 and 11072?

Answer:

Least Common Multiple of 11067 and 11072 = 122533824

Step 1: Find the prime factorization of 11067

11067 = 3 x 7 x 17 x 31

Step 2: Find the prime factorization of 11072

11072 = 2 x 2 x 2 x 2 x 2 x 2 x 173

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

LCM = 122533824 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 17 x 31 x 173

Step 4: Therefore, the least common multiple of 11067 and 11072 is 122533824.