Least Common Multiple of 11069 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 11069 and 11073 the smallest integer that is 122567037 that is divisible by both numbers.

Least Common Multiple (LCM) of 11069 and 11073 is 122567037.

LCM(11069,11073) = 122567037

LCM of 11069 and 11073

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

LCM of:
and

Least Common Multiple of 11069 and 11073

LCM of 11069 and 11073 is 122567037

Least common multiple can be found by multiplying the highest exponent prime factors of 11069 and 11073. First we will calculate the prime factors of 11069 and 11073.

Prime Factorization of 11069


11069 11069
1

Prime factors of 11069 are 11069. Prime factorization of 11069 in exponential form is:

11069 = 110691

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 11069 and 11073.

LCM(11069,11073) = 31×36911×110691
LCM(11069,11073) = 122567037

Factors of 11069

List of positive integer factors of 11069 that divides 11069 without a remainder.

1, 11069

Factors of 11073

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

1, 3, 3691, 11073

Least Common Multiple of 11069 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 11069 and 11073, than apply into the LCM equation.

GCF(11069,11073) = 1
LCM(11069,11073) = ( 11069 × 11073) / 1
LCM(11069,11073) = 122567037 / 1
LCM(11069,11073) = 122567037

Properties of LCM 11069 and 11073

(i) The LCM of 11073 and 11069 is associative

LCM of 11069 and 11073 = LCM of 11073 and 11069

Frequently Asked Questions on LCM of 11069 and 11073

1. What is the LCM of 11069 and 11073?

Answer: LCM of 11069 and 11073 is 122567037.

2. What are the Factors of 11069?

Answer: Factors of 11069 are 1, 11069. There are 2 integers that are factors of 11069. The greatest factor of 11069 is 11069.

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 11069 and 11073?

Answer:

Least Common Multiple of 11069 and 11073 = 122567037

Step 1: Find the prime factorization of 11069

11069 = 11069

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 = 122567037 = 3 x 3691 x 11069

Step 4: Therefore, the least common multiple of 11069 and 11073 is 122567037.