Least Common Multiple of 2339 and 2345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2339 and 2345 the smallest integer that is 5484955 that is divisible by both numbers.

Least Common Multiple (LCM) of 2339 and 2345 is 5484955.

LCM(2339,2345) = 5484955

LCM of 2339 and 2345

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

LCM of:
and

Least Common Multiple of 2339 and 2345

LCM of 2339 and 2345 is 5484955

Least common multiple can be found by multiplying the highest exponent prime factors of 2339 and 2345. First we will calculate the prime factors of 2339 and 2345.

Prime Factorization of 2339


2339 2339
1

Prime factors of 2339 are 2339. Prime factorization of 2339 in exponential form is:

2339 = 23391

Prime Factorization of 2345


5 2345
7 469
67 67
1

Prime factors of 2345 are 5, 7,67. Prime factorization of 2345 in exponential form is:

2345 = 51×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 2339 and 2345.

LCM(2339,2345) = 51×71×671×23391
LCM(2339,2345) = 5484955

Factors of 2339

List of positive integer factors of 2339 that divides 2339 without a remainder.

1, 2339

Factors of 2345

List of positive integer factors of 2345 that divides 2345 without a remainder.

1, 5, 7, 35, 67, 335, 469, 2345

Least Common Multiple of 2339 and 2345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2339 and 2345, than apply into the LCM equation.

GCF(2339,2345) = 1
LCM(2339,2345) = ( 2339 × 2345) / 1
LCM(2339,2345) = 5484955 / 1
LCM(2339,2345) = 5484955

Properties of LCM 2339 and 2345

(i) The LCM of 2345 and 2339 is associative

LCM of 2339 and 2345 = LCM of 2345 and 2339

Related Least Common Multiples of 2339

Related Least Common Multiples of 2345

Frequently Asked Questions on LCM of 2339 and 2345

1. What is the LCM of 2339 and 2345?

Answer: LCM of 2339 and 2345 is 5484955.

2. What are the Factors of 2339?

Answer: Factors of 2339 are 1, 2339. There are 2 integers that are factors of 2339. The greatest factor of 2339 is 2339.

3. What are the Factors of 2345?

Answer: Factors of 2345 are 1, 5, 7, 35, 67, 335, 469, 2345. There are 8 integers that are factors of 2345. The greatest factor of 2345 is 2345.

4. How to Find the LCM of 2339 and 2345?

Answer:

Least Common Multiple of 2339 and 2345 = 5484955

Step 1: Find the prime factorization of 2339

2339 = 2339

Step 2: Find the prime factorization of 2345

2345 = 5 x 7 x 67

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

LCM = 5484955 = 5 x 7 x 67 x 2339

Step 4: Therefore, the least common multiple of 2339 and 2345 is 5484955.