Least Common Multiple of 11325 and 11332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11325 and 11332 the smallest integer that is 128334900 that is divisible by both numbers.

Least Common Multiple (LCM) of 11325 and 11332 is 128334900.

LCM(11325,11332) = 128334900

LCM of 11325 and 11332

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

LCM of:
and

Least Common Multiple of 11325 and 11332

LCM of 11325 and 11332 is 128334900

Least common multiple can be found by multiplying the highest exponent prime factors of 11325 and 11332. First we will calculate the prime factors of 11325 and 11332.

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

Prime Factorization of 11332


2 11332
2 5666
2833 2833
1

Prime factors of 11332 are 2,2833. Prime factorization of 11332 in exponential form is:

11332 = 22×28331

Now multiplying the highest exponent prime factors to calculate the LCM of 11325 and 11332.

LCM(11325,11332) = 22×31×52×1511×28331
LCM(11325,11332) = 128334900

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

Factors of 11332

List of positive integer factors of 11332 that divides 11332 without a remainder.

1, 2, 4, 2833, 5666, 11332

Least Common Multiple of 11325 and 11332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11325 and 11332, than apply into the LCM equation.

GCF(11325,11332) = 1
LCM(11325,11332) = ( 11325 × 11332) / 1
LCM(11325,11332) = 128334900 / 1
LCM(11325,11332) = 128334900

Properties of LCM 11325 and 11332

(i) The LCM of 11332 and 11325 is associative

LCM of 11325 and 11332 = LCM of 11332 and 11325

Related Least Common Multiples of 11325

Related Least Common Multiples of 11332

Frequently Asked Questions on LCM of 11325 and 11332

1. What is the LCM of 11325 and 11332?

Answer: LCM of 11325 and 11332 is 128334900.

2. 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.

3. What are the Factors of 11332?

Answer: Factors of 11332 are 1, 2, 4, 2833, 5666, 11332. There are 6 integers that are factors of 11332. The greatest factor of 11332 is 11332.

4. How to Find the LCM of 11325 and 11332?

Answer:

Least Common Multiple of 11325 and 11332 = 128334900

Step 1: Find the prime factorization of 11325

11325 = 3 x 5 x 5 x 151

Step 2: Find the prime factorization of 11332

11332 = 2 x 2 x 2833

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

LCM = 128334900 = 2 x 2 x 3 x 5 x 5 x 151 x 2833

Step 4: Therefore, the least common multiple of 11325 and 11332 is 128334900.