Least Common Multiple of 2435 and 2441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2435 and 2441 the smallest integer that is 5943835 that is divisible by both numbers.

Least Common Multiple (LCM) of 2435 and 2441 is 5943835.

LCM(2435,2441) = 5943835

LCM of 2435 and 2441

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

LCM of:
and

Least Common Multiple of 2435 and 2441

LCM of 2435 and 2441 is 5943835

Least common multiple can be found by multiplying the highest exponent prime factors of 2435 and 2441. First we will calculate the prime factors of 2435 and 2441.

Prime Factorization of 2435


5 2435
487 487
1

Prime factors of 2435 are 5,487. Prime factorization of 2435 in exponential form is:

2435 = 51×4871

Prime Factorization of 2441


2441 2441
1

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

2441 = 24411

Now multiplying the highest exponent prime factors to calculate the LCM of 2435 and 2441.

LCM(2435,2441) = 51×4871×24411
LCM(2435,2441) = 5943835

Factors of 2435

List of positive integer factors of 2435 that divides 2435 without a remainder.

1, 5, 487, 2435

Factors of 2441

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

1, 2441

Least Common Multiple of 2435 and 2441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2435 and 2441, than apply into the LCM equation.

GCF(2435,2441) = 1
LCM(2435,2441) = ( 2435 × 2441) / 1
LCM(2435,2441) = 5943835 / 1
LCM(2435,2441) = 5943835

Properties of LCM 2435 and 2441

(i) The LCM of 2441 and 2435 is associative

LCM of 2435 and 2441 = LCM of 2441 and 2435

Related Least Common Multiples of 2435

Related Least Common Multiples of 2441

Frequently Asked Questions on LCM of 2435 and 2441

1. What is the LCM of 2435 and 2441?

Answer: LCM of 2435 and 2441 is 5943835.

2. What are the Factors of 2435?

Answer: Factors of 2435 are 1, 5, 487, 2435. There are 4 integers that are factors of 2435. The greatest factor of 2435 is 2435.

3. 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.

4. How to Find the LCM of 2435 and 2441?

Answer:

Least Common Multiple of 2435 and 2441 = 5943835

Step 1: Find the prime factorization of 2435

2435 = 5 x 487

Step 2: Find the prime factorization of 2441

2441 = 2441

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

LCM = 5943835 = 5 x 487 x 2441

Step 4: Therefore, the least common multiple of 2435 and 2441 is 5943835.