Least Common Multiple of 2405 and 2410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2405 and 2410 the smallest integer that is 1159210 that is divisible by both numbers.

Least Common Multiple (LCM) of 2405 and 2410 is 1159210.

LCM(2405,2410) = 1159210

LCM of 2405 and 2410

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

LCM of:
and

Least Common Multiple of 2405 and 2410

LCM of 2405 and 2410 is 1159210

Least common multiple can be found by multiplying the highest exponent prime factors of 2405 and 2410. First we will calculate the prime factors of 2405 and 2410.

Prime Factorization of 2405


5 2405
13 481
37 37
1

Prime factors of 2405 are 5, 13,37. Prime factorization of 2405 in exponential form is:

2405 = 51×131×371

Prime Factorization of 2410


2 2410
5 1205
241 241
1

Prime factors of 2410 are 2, 5,241. Prime factorization of 2410 in exponential form is:

2410 = 21×51×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 2405 and 2410.

LCM(2405,2410) = 21×51×131×371×2411
LCM(2405,2410) = 1159210

Factors of 2405

List of positive integer factors of 2405 that divides 2405 without a remainder.

1, 5, 13, 37, 65, 185, 481, 2405

Factors of 2410

List of positive integer factors of 2410 that divides 2410 without a remainder.

1, 2, 5, 10, 241, 482, 1205, 2410

Least Common Multiple of 2405 and 2410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2405 and 2410, than apply into the LCM equation.

GCF(2405,2410) = 5
LCM(2405,2410) = ( 2405 × 2410) / 5
LCM(2405,2410) = 5796050 / 5
LCM(2405,2410) = 1159210

Properties of LCM 2405 and 2410

(i) The LCM of 2410 and 2405 is associative

LCM of 2405 and 2410 = LCM of 2410 and 2405

Related Least Common Multiples of 2405

Related Least Common Multiples of 2410

Frequently Asked Questions on LCM of 2405 and 2410

1. What is the LCM of 2405 and 2410?

Answer: LCM of 2405 and 2410 is 1159210.

2. What are the Factors of 2405?

Answer: Factors of 2405 are 1, 5, 13, 37, 65, 185, 481, 2405. There are 8 integers that are factors of 2405. The greatest factor of 2405 is 2405.

3. What are the Factors of 2410?

Answer: Factors of 2410 are 1, 2, 5, 10, 241, 482, 1205, 2410. There are 8 integers that are factors of 2410. The greatest factor of 2410 is 2410.

4. How to Find the LCM of 2405 and 2410?

Answer:

Least Common Multiple of 2405 and 2410 = 1159210

Step 1: Find the prime factorization of 2405

2405 = 5 x 13 x 37

Step 2: Find the prime factorization of 2410

2410 = 2 x 5 x 241

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

LCM = 1159210 = 2 x 5 x 13 x 37 x 241

Step 4: Therefore, the least common multiple of 2405 and 2410 is 1159210.