Least Common Multiple of 11067 and 11073

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 11073 the smallest integer that is 40848297 that is divisible by both numbers.

Least Common Multiple (LCM) of 11067 and 11073 is 40848297.

LCM(11067,11073) = 40848297

LCM of 11067 and 11073

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

LCM of:
and

Least Common Multiple of 11067 and 11073

LCM of 11067 and 11073 is 40848297

Least common multiple can be found by multiplying the highest exponent prime factors of 11067 and 11073. First we will calculate the prime factors of 11067 and 11073.

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 11073


3 11073
3691 3691
1

Prime factors of 11073 are 3,3691. Prime factorization of 11073 in exponential form is:

11073 = 31×36911

Now multiplying the highest exponent prime factors to calculate the LCM of 11067 and 11073.

LCM(11067,11073) = 31×71×171×311×36911
LCM(11067,11073) = 40848297

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 11073

List of positive integer factors of 11073 that divides 11073 without a remainder.

1, 3, 3691, 11073

Least Common Multiple of 11067 and 11073 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 11073, than apply into the LCM equation.

GCF(11067,11073) = 3
LCM(11067,11073) = ( 11067 × 11073) / 3
LCM(11067,11073) = 122544891 / 3
LCM(11067,11073) = 40848297

Properties of LCM 11067 and 11073

(i) The LCM of 11073 and 11067 is associative

LCM of 11067 and 11073 = LCM of 11073 and 11067

Related Least Common Multiples of 11067

Related Least Common Multiples of 11073

Frequently Asked Questions on LCM of 11067 and 11073

1. What is the LCM of 11067 and 11073?

Answer: LCM of 11067 and 11073 is 40848297.

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 11073?

Answer: Factors of 11073 are 1, 3, 3691, 11073. There are 4 integers that are factors of 11073. The greatest factor of 11073 is 11073.

4. How to Find the LCM of 11067 and 11073?

Answer:

Least Common Multiple of 11067 and 11073 = 40848297

Step 1: Find the prime factorization of 11067

11067 = 3 x 7 x 17 x 31

Step 2: Find the prime factorization of 11073

11073 = 3 x 3691

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

LCM = 40848297 = 3 x 7 x 17 x 31 x 3691

Step 4: Therefore, the least common multiple of 11067 and 11073 is 40848297.