Least Common Multiple of 11300 and 11305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11300 and 11305 the smallest integer that is 25549300 that is divisible by both numbers.

Least Common Multiple (LCM) of 11300 and 11305 is 25549300.

LCM(11300,11305) = 25549300

LCM of 11300 and 11305

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

LCM of:
and

Least Common Multiple of 11300 and 11305

LCM of 11300 and 11305 is 25549300

Least common multiple can be found by multiplying the highest exponent prime factors of 11300 and 11305. First we will calculate the prime factors of 11300 and 11305.

Prime Factorization of 11300


2 11300
2 5650
5 2825
5 565
113 113
1

Prime factors of 11300 are 2, 5,113. Prime factorization of 11300 in exponential form is:

11300 = 22×52×1131

Prime Factorization of 11305


5 11305
7 2261
17 323
19 19
1

Prime factors of 11305 are 5, 7, 17,19. Prime factorization of 11305 in exponential form is:

11305 = 51×71×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 11300 and 11305.

LCM(11300,11305) = 22×52×71×171×191×1131
LCM(11300,11305) = 25549300

Factors of 11300

List of positive integer factors of 11300 that divides 11300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 113, 226, 452, 565, 1130, 2260, 2825, 5650, 11300

Factors of 11305

List of positive integer factors of 11305 that divides 11305 without a remainder.

1, 5, 7, 17, 19, 35, 85, 95, 119, 133, 323, 595, 665, 1615, 2261, 11305

Least Common Multiple of 11300 and 11305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11300 and 11305, than apply into the LCM equation.

GCF(11300,11305) = 5
LCM(11300,11305) = ( 11300 × 11305) / 5
LCM(11300,11305) = 127746500 / 5
LCM(11300,11305) = 25549300

Properties of LCM 11300 and 11305

(i) The LCM of 11305 and 11300 is associative

LCM of 11300 and 11305 = LCM of 11305 and 11300

Related Least Common Multiples of 11300

Related Least Common Multiples of 11305

Frequently Asked Questions on LCM of 11300 and 11305

1. What is the LCM of 11300 and 11305?

Answer: LCM of 11300 and 11305 is 25549300.

2. What are the Factors of 11300?

Answer: Factors of 11300 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 113, 226, 452, 565, 1130, 2260, 2825, 5650, 11300. There are 18 integers that are factors of 11300. The greatest factor of 11300 is 11300.

3. What are the Factors of 11305?

Answer: Factors of 11305 are 1, 5, 7, 17, 19, 35, 85, 95, 119, 133, 323, 595, 665, 1615, 2261, 11305. There are 16 integers that are factors of 11305. The greatest factor of 11305 is 11305.

4. How to Find the LCM of 11300 and 11305?

Answer:

Least Common Multiple of 11300 and 11305 = 25549300

Step 1: Find the prime factorization of 11300

11300 = 2 x 2 x 5 x 5 x 113

Step 2: Find the prime factorization of 11305

11305 = 5 x 7 x 17 x 19

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

LCM = 25549300 = 2 x 2 x 5 x 5 x 7 x 17 x 19 x 113

Step 4: Therefore, the least common multiple of 11300 and 11305 is 25549300.