Least Common Multiple of 2327 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 2327 and 2332 the smallest integer that is 5426564 that is divisible by both numbers.

Least Common Multiple (LCM) of 2327 and 2332 is 5426564.

LCM(2327,2332) = 5426564

LCM of 2327 and 2332

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

LCM of:
and

Least Common Multiple of 2327 and 2332

LCM of 2327 and 2332 is 5426564

Least common multiple can be found by multiplying the highest exponent prime factors of 2327 and 2332. First we will calculate the prime factors of 2327 and 2332.

Prime Factorization of 2327


13 2327
179 179
1

Prime factors of 2327 are 13,179. Prime factorization of 2327 in exponential form is:

2327 = 131×1791

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 2327 and 2332.

LCM(2327,2332) = 22×111×131×531×1791
LCM(2327,2332) = 5426564

Factors of 2327

List of positive integer factors of 2327 that divides 2327 without a remainder.

1, 13, 179, 2327

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 2327 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 2327 and 2332, than apply into the LCM equation.

GCF(2327,2332) = 1
LCM(2327,2332) = ( 2327 × 2332) / 1
LCM(2327,2332) = 5426564 / 1
LCM(2327,2332) = 5426564

Properties of LCM 2327 and 2332

(i) The LCM of 2332 and 2327 is associative

LCM of 2327 and 2332 = LCM of 2332 and 2327

Related Least Common Multiples of 2327

Related Least Common Multiples of 2332

Frequently Asked Questions on LCM of 2327 and 2332

1. What is the LCM of 2327 and 2332?

Answer: LCM of 2327 and 2332 is 5426564.

2. What are the Factors of 2327?

Answer: Factors of 2327 are 1, 13, 179, 2327. There are 4 integers that are factors of 2327. The greatest factor of 2327 is 2327.

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 2327 and 2332?

Answer:

Least Common Multiple of 2327 and 2332 = 5426564

Step 1: Find the prime factorization of 2327

2327 = 13 x 179

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 = 5426564 = 2 x 2 x 11 x 13 x 53 x 179

Step 4: Therefore, the least common multiple of 2327 and 2332 is 5426564.