Least Common Multiple of 2325 and 2332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2325 and 2332 the smallest integer that is 5421900 that is divisible by both numbers.

Least Common Multiple (LCM) of 2325 and 2332 is 5421900.

LCM(2325,2332) = 5421900

LCM of 2325 and 2332

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

LCM of:
and

Least Common Multiple of 2325 and 2332

LCM of 2325 and 2332 is 5421900

Least common multiple can be found by multiplying the highest exponent prime factors of 2325 and 2332. First we will calculate the prime factors of 2325 and 2332.

Prime Factorization of 2325


3 2325
5 775
5 155
31 31
1

Prime factors of 2325 are 3, 5,31. Prime factorization of 2325 in exponential form is:

2325 = 31×52×311

Prime Factorization of 2332


2 2332
2 1166
11 583
53 53
1

Prime factors of 2332 are 2, 11,53. Prime factorization of 2332 in exponential form is:

2332 = 22×111×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2325 and 2332.

LCM(2325,2332) = 22×31×52×111×311×531
LCM(2325,2332) = 5421900

Factors of 2325

List of positive integer factors of 2325 that divides 2325 without a remainder.

1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 2325

Factors of 2332

List of positive integer factors of 2332 that divides 2332 without a remainder.

1, 2, 4, 11, 22, 44, 53, 106, 212, 583, 1166, 2332

Least Common Multiple of 2325 and 2332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2325 and 2332, than apply into the LCM equation.

GCF(2325,2332) = 1
LCM(2325,2332) = ( 2325 × 2332) / 1
LCM(2325,2332) = 5421900 / 1
LCM(2325,2332) = 5421900

Properties of LCM 2325 and 2332

(i) The LCM of 2332 and 2325 is associative

LCM of 2325 and 2332 = LCM of 2332 and 2325

Related Least Common Multiples of 2325

Related Least Common Multiples of 2332

Frequently Asked Questions on LCM of 2325 and 2332

1. What is the LCM of 2325 and 2332?

Answer: LCM of 2325 and 2332 is 5421900.

2. What are the Factors of 2325?

Answer: Factors of 2325 are 1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 2325. There are 12 integers that are factors of 2325. The greatest factor of 2325 is 2325.

3. What are the Factors of 2332?

Answer: Factors of 2332 are 1, 2, 4, 11, 22, 44, 53, 106, 212, 583, 1166, 2332. There are 12 integers that are factors of 2332. The greatest factor of 2332 is 2332.

4. How to Find the LCM of 2325 and 2332?

Answer:

Least Common Multiple of 2325 and 2332 = 5421900

Step 1: Find the prime factorization of 2325

2325 = 3 x 5 x 5 x 31

Step 2: Find the prime factorization of 2332

2332 = 2 x 2 x 11 x 53

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

LCM = 5421900 = 2 x 2 x 3 x 5 x 5 x 11 x 31 x 53

Step 4: Therefore, the least common multiple of 2325 and 2332 is 5421900.