Least Common Multiple of 11025 and 11027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11025 and 11027 the smallest integer that is 121572675 that is divisible by both numbers.

Least Common Multiple (LCM) of 11025 and 11027 is 121572675.

LCM(11025,11027) = 121572675

LCM of 11025 and 11027

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

LCM of:
and

Least Common Multiple of 11025 and 11027

LCM of 11025 and 11027 is 121572675

Least common multiple can be found by multiplying the highest exponent prime factors of 11025 and 11027. First we will calculate the prime factors of 11025 and 11027.

Prime Factorization of 11025


3 11025
3 3675
5 1225
5 245
7 49
7 7
1

Prime factors of 11025 are 3, 5,7. Prime factorization of 11025 in exponential form is:

11025 = 32×52×72

Prime Factorization of 11027


11027 11027
1

Prime factors of 11027 are 11027. Prime factorization of 11027 in exponential form is:

11027 = 110271

Now multiplying the highest exponent prime factors to calculate the LCM of 11025 and 11027.

LCM(11025,11027) = 32×52×72×110271
LCM(11025,11027) = 121572675

Factors of 11025

List of positive integer factors of 11025 that divides 11025 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, 11025

Factors of 11027

List of positive integer factors of 11027 that divides 11027 without a remainder.

1, 11027

Least Common Multiple of 11025 and 11027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11025 and 11027, than apply into the LCM equation.

GCF(11025,11027) = 1
LCM(11025,11027) = ( 11025 × 11027) / 1
LCM(11025,11027) = 121572675 / 1
LCM(11025,11027) = 121572675

Properties of LCM 11025 and 11027

(i) The LCM of 11027 and 11025 is associative

LCM of 11025 and 11027 = LCM of 11027 and 11025

Related Least Common Multiples of 11025

Related Least Common Multiples of 11027

Frequently Asked Questions on LCM of 11025 and 11027

1. What is the LCM of 11025 and 11027?

Answer: LCM of 11025 and 11027 is 121572675.

2. What are the Factors of 11025?

Answer: Factors of 11025 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, 11025. There are 27 integers that are factors of 11025. The greatest factor of 11025 is 11025.

3. What are the Factors of 11027?

Answer: Factors of 11027 are 1, 11027. There are 2 integers that are factors of 11027. The greatest factor of 11027 is 11027.

4. How to Find the LCM of 11025 and 11027?

Answer:

Least Common Multiple of 11025 and 11027 = 121572675

Step 1: Find the prime factorization of 11025

11025 = 3 x 3 x 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 11027

11027 = 11027

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

LCM = 121572675 = 3 x 3 x 5 x 5 x 7 x 7 x 11027

Step 4: Therefore, the least common multiple of 11025 and 11027 is 121572675.