Least Common Multiple of 11069 and 11075

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 11075 the smallest integer that is 122589175 that is divisible by both numbers.

Least Common Multiple (LCM) of 11069 and 11075 is 122589175.

LCM(11069,11075) = 122589175

LCM of 11069 and 11075

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

LCM of:
and

Least Common Multiple of 11069 and 11075

LCM of 11069 and 11075 is 122589175

Least common multiple can be found by multiplying the highest exponent prime factors of 11069 and 11075. First we will calculate the prime factors of 11069 and 11075.

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 11075


5 11075
5 2215
443 443
1

Prime factors of 11075 are 5,443. Prime factorization of 11075 in exponential form is:

11075 = 52×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 11069 and 11075.

LCM(11069,11075) = 52×4431×110691
LCM(11069,11075) = 122589175

Factors of 11069

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

1, 11069

Factors of 11075

List of positive integer factors of 11075 that divides 11075 without a remainder.

1, 5, 25, 443, 2215, 11075

Least Common Multiple of 11069 and 11075 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 11075, than apply into the LCM equation.

GCF(11069,11075) = 1
LCM(11069,11075) = ( 11069 × 11075) / 1
LCM(11069,11075) = 122589175 / 1
LCM(11069,11075) = 122589175

Properties of LCM 11069 and 11075

(i) The LCM of 11075 and 11069 is associative

LCM of 11069 and 11075 = LCM of 11075 and 11069

Related Least Common Multiples of 11069

Related Least Common Multiples of 11075

Frequently Asked Questions on LCM of 11069 and 11075

1. What is the LCM of 11069 and 11075?

Answer: LCM of 11069 and 11075 is 122589175.

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 11075?

Answer: Factors of 11075 are 1, 5, 25, 443, 2215, 11075. There are 6 integers that are factors of 11075. The greatest factor of 11075 is 11075.

4. How to Find the LCM of 11069 and 11075?

Answer:

Least Common Multiple of 11069 and 11075 = 122589175

Step 1: Find the prime factorization of 11069

11069 = 11069

Step 2: Find the prime factorization of 11075

11075 = 5 x 5 x 443

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

LCM = 122589175 = 5 x 5 x 443 x 11069

Step 4: Therefore, the least common multiple of 11069 and 11075 is 122589175.