Least Common Multiple of 2441 and 2445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2441 and 2445 the smallest integer that is 5968245 that is divisible by both numbers.

Least Common Multiple (LCM) of 2441 and 2445 is 5968245.

LCM(2441,2445) = 5968245

LCM of 2441 and 2445

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

LCM of:
and

Least Common Multiple of 2441 and 2445

LCM of 2441 and 2445 is 5968245

Least common multiple can be found by multiplying the highest exponent prime factors of 2441 and 2445. First we will calculate the prime factors of 2441 and 2445.

Prime Factorization of 2441


2441 2441
1

Prime factors of 2441 are 2441. Prime factorization of 2441 in exponential form is:

2441 = 24411

Prime Factorization of 2445


3 2445
5 815
163 163
1

Prime factors of 2445 are 3, 5,163. Prime factorization of 2445 in exponential form is:

2445 = 31×51×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 2441 and 2445.

LCM(2441,2445) = 31×51×1631×24411
LCM(2441,2445) = 5968245

Factors of 2441

List of positive integer factors of 2441 that divides 2441 without a remainder.

1, 2441

Factors of 2445

List of positive integer factors of 2445 that divides 2445 without a remainder.

1, 3, 5, 15, 163, 489, 815, 2445

Least Common Multiple of 2441 and 2445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2441 and 2445, than apply into the LCM equation.

GCF(2441,2445) = 1
LCM(2441,2445) = ( 2441 × 2445) / 1
LCM(2441,2445) = 5968245 / 1
LCM(2441,2445) = 5968245

Properties of LCM 2441 and 2445

(i) The LCM of 2445 and 2441 is associative

LCM of 2441 and 2445 = LCM of 2445 and 2441

Related Least Common Multiples of 2441

Related Least Common Multiples of 2445

Frequently Asked Questions on LCM of 2441 and 2445

1. What is the LCM of 2441 and 2445?

Answer: LCM of 2441 and 2445 is 5968245.

2. What are the Factors of 2441?

Answer: Factors of 2441 are 1, 2441. There are 2 integers that are factors of 2441. The greatest factor of 2441 is 2441.

3. What are the Factors of 2445?

Answer: Factors of 2445 are 1, 3, 5, 15, 163, 489, 815, 2445. There are 8 integers that are factors of 2445. The greatest factor of 2445 is 2445.

4. How to Find the LCM of 2441 and 2445?

Answer:

Least Common Multiple of 2441 and 2445 = 5968245

Step 1: Find the prime factorization of 2441

2441 = 2441

Step 2: Find the prime factorization of 2445

2445 = 3 x 5 x 163

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

LCM = 5968245 = 3 x 5 x 163 x 2441

Step 4: Therefore, the least common multiple of 2441 and 2445 is 5968245.