Least Common Multiple of 2327 and 2335

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 2335 the smallest integer that is 5433545 that is divisible by both numbers.

Least Common Multiple (LCM) of 2327 and 2335 is 5433545.

LCM(2327,2335) = 5433545

LCM of 2327 and 2335

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

LCM of:
and

Least Common Multiple of 2327 and 2335

LCM of 2327 and 2335 is 5433545

Least common multiple can be found by multiplying the highest exponent prime factors of 2327 and 2335. First we will calculate the prime factors of 2327 and 2335.

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 2335


5 2335
467 467
1

Prime factors of 2335 are 5,467. Prime factorization of 2335 in exponential form is:

2335 = 51×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 2327 and 2335.

LCM(2327,2335) = 51×131×1791×4671
LCM(2327,2335) = 5433545

Factors of 2327

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

1, 13, 179, 2327

Factors of 2335

List of positive integer factors of 2335 that divides 2335 without a remainder.

1, 5, 467, 2335

Least Common Multiple of 2327 and 2335 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 2335, than apply into the LCM equation.

GCF(2327,2335) = 1
LCM(2327,2335) = ( 2327 × 2335) / 1
LCM(2327,2335) = 5433545 / 1
LCM(2327,2335) = 5433545

Properties of LCM 2327 and 2335

(i) The LCM of 2335 and 2327 is associative

LCM of 2327 and 2335 = LCM of 2335 and 2327

Related Least Common Multiples of 2327

Related Least Common Multiples of 2335

Frequently Asked Questions on LCM of 2327 and 2335

1. What is the LCM of 2327 and 2335?

Answer: LCM of 2327 and 2335 is 5433545.

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 2335?

Answer: Factors of 2335 are 1, 5, 467, 2335. There are 4 integers that are factors of 2335. The greatest factor of 2335 is 2335.

4. How to Find the LCM of 2327 and 2335?

Answer:

Least Common Multiple of 2327 and 2335 = 5433545

Step 1: Find the prime factorization of 2327

2327 = 13 x 179

Step 2: Find the prime factorization of 2335

2335 = 5 x 467

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

LCM = 5433545 = 5 x 13 x 179 x 467

Step 4: Therefore, the least common multiple of 2327 and 2335 is 5433545.