Least Common Multiple of 11317 and 11325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11317 and 11325 the smallest integer that is 128165025 that is divisible by both numbers.

Least Common Multiple (LCM) of 11317 and 11325 is 128165025.

LCM(11317,11325) = 128165025

LCM of 11317 and 11325

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

LCM of:
and

Least Common Multiple of 11317 and 11325

LCM of 11317 and 11325 is 128165025

Least common multiple can be found by multiplying the highest exponent prime factors of 11317 and 11325. First we will calculate the prime factors of 11317 and 11325.

Prime Factorization of 11317


11317 11317
1

Prime factors of 11317 are 11317. Prime factorization of 11317 in exponential form is:

11317 = 113171

Prime Factorization of 11325


3 11325
5 3775
5 755
151 151
1

Prime factors of 11325 are 3, 5,151. Prime factorization of 11325 in exponential form is:

11325 = 31×52×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 11317 and 11325.

LCM(11317,11325) = 31×52×1511×113171
LCM(11317,11325) = 128165025

Factors of 11317

List of positive integer factors of 11317 that divides 11317 without a remainder.

1, 11317

Factors of 11325

List of positive integer factors of 11325 that divides 11325 without a remainder.

1, 3, 5, 15, 25, 75, 151, 453, 755, 2265, 3775, 11325

Least Common Multiple of 11317 and 11325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11317 and 11325, than apply into the LCM equation.

GCF(11317,11325) = 1
LCM(11317,11325) = ( 11317 × 11325) / 1
LCM(11317,11325) = 128165025 / 1
LCM(11317,11325) = 128165025

Properties of LCM 11317 and 11325

(i) The LCM of 11325 and 11317 is associative

LCM of 11317 and 11325 = LCM of 11325 and 11317

Related Least Common Multiples of 11317

Related Least Common Multiples of 11325

Frequently Asked Questions on LCM of 11317 and 11325

1. What is the LCM of 11317 and 11325?

Answer: LCM of 11317 and 11325 is 128165025.

2. What are the Factors of 11317?

Answer: Factors of 11317 are 1, 11317. There are 2 integers that are factors of 11317. The greatest factor of 11317 is 11317.

3. What are the Factors of 11325?

Answer: Factors of 11325 are 1, 3, 5, 15, 25, 75, 151, 453, 755, 2265, 3775, 11325. There are 12 integers that are factors of 11325. The greatest factor of 11325 is 11325.

4. How to Find the LCM of 11317 and 11325?

Answer:

Least Common Multiple of 11317 and 11325 = 128165025

Step 1: Find the prime factorization of 11317

11317 = 11317

Step 2: Find the prime factorization of 11325

11325 = 3 x 5 x 5 x 151

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

LCM = 128165025 = 3 x 5 x 5 x 151 x 11317

Step 4: Therefore, the least common multiple of 11317 and 11325 is 128165025.