Least Common Multiple of 2319 and 2327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2319 and 2327 the smallest integer that is 5396313 that is divisible by both numbers.

Least Common Multiple (LCM) of 2319 and 2327 is 5396313.

LCM(2319,2327) = 5396313

LCM of 2319 and 2327

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

LCM of:
and

Least Common Multiple of 2319 and 2327

LCM of 2319 and 2327 is 5396313

Least common multiple can be found by multiplying the highest exponent prime factors of 2319 and 2327. First we will calculate the prime factors of 2319 and 2327.

Prime Factorization of 2319


3 2319
773 773
1

Prime factors of 2319 are 3,773. Prime factorization of 2319 in exponential form is:

2319 = 31×7731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2319 and 2327.

LCM(2319,2327) = 31×131×1791×7731
LCM(2319,2327) = 5396313

Factors of 2319

List of positive integer factors of 2319 that divides 2319 without a remainder.

1, 3, 773, 2319

Factors of 2327

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

1, 13, 179, 2327

Least Common Multiple of 2319 and 2327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2319 and 2327, than apply into the LCM equation.

GCF(2319,2327) = 1
LCM(2319,2327) = ( 2319 × 2327) / 1
LCM(2319,2327) = 5396313 / 1
LCM(2319,2327) = 5396313

Properties of LCM 2319 and 2327

(i) The LCM of 2327 and 2319 is associative

LCM of 2319 and 2327 = LCM of 2327 and 2319

Related Least Common Multiples of 2319

Related Least Common Multiples of 2327

Frequently Asked Questions on LCM of 2319 and 2327

1. What is the LCM of 2319 and 2327?

Answer: LCM of 2319 and 2327 is 5396313.

2. What are the Factors of 2319?

Answer: Factors of 2319 are 1, 3, 773, 2319. There are 4 integers that are factors of 2319. The greatest factor of 2319 is 2319.

3. 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.

4. How to Find the LCM of 2319 and 2327?

Answer:

Least Common Multiple of 2319 and 2327 = 5396313

Step 1: Find the prime factorization of 2319

2319 = 3 x 773

Step 2: Find the prime factorization of 2327

2327 = 13 x 179

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

LCM = 5396313 = 3 x 13 x 179 x 773

Step 4: Therefore, the least common multiple of 2319 and 2327 is 5396313.