Least Common Multiple of 2341 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 2341 and 2345 the smallest integer that is 5489645 that is divisible by both numbers.

Least Common Multiple (LCM) of 2341 and 2345 is 5489645.

LCM(2341,2345) = 5489645

LCM of 2341 and 2345

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

LCM of:
and

Least Common Multiple of 2341 and 2345

LCM of 2341 and 2345 is 5489645

Least common multiple can be found by multiplying the highest exponent prime factors of 2341 and 2345. First we will calculate the prime factors of 2341 and 2345.

Prime Factorization of 2341


2341 2341
1

Prime factors of 2341 are 2341. Prime factorization of 2341 in exponential form is:

2341 = 23411

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 2341 and 2345.

LCM(2341,2345) = 51×71×671×23411
LCM(2341,2345) = 5489645

Factors of 2341

List of positive integer factors of 2341 that divides 2341 without a remainder.

1, 2341

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 2341 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 2341 and 2345, than apply into the LCM equation.

GCF(2341,2345) = 1
LCM(2341,2345) = ( 2341 × 2345) / 1
LCM(2341,2345) = 5489645 / 1
LCM(2341,2345) = 5489645

Properties of LCM 2341 and 2345

(i) The LCM of 2345 and 2341 is associative

LCM of 2341 and 2345 = LCM of 2345 and 2341

Related Least Common Multiples of 2341

Related Least Common Multiples of 2345

Frequently Asked Questions on LCM of 2341 and 2345

1. What is the LCM of 2341 and 2345?

Answer: LCM of 2341 and 2345 is 5489645.

2. What are the Factors of 2341?

Answer: Factors of 2341 are 1, 2341. There are 2 integers that are factors of 2341. The greatest factor of 2341 is 2341.

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 2341 and 2345?

Answer:

Least Common Multiple of 2341 and 2345 = 5489645

Step 1: Find the prime factorization of 2341

2341 = 2341

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 = 5489645 = 5 x 7 x 67 x 2341

Step 4: Therefore, the least common multiple of 2341 and 2345 is 5489645.