Least Common Multiple of 2409 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 2409 and 2410 the smallest integer that is 5805690 that is divisible by both numbers.

Least Common Multiple (LCM) of 2409 and 2410 is 5805690.

LCM(2409,2410) = 5805690

LCM of 2409 and 2410

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

LCM of:
and

Least Common Multiple of 2409 and 2410

LCM of 2409 and 2410 is 5805690

Least common multiple can be found by multiplying the highest exponent prime factors of 2409 and 2410. First we will calculate the prime factors of 2409 and 2410.

Prime Factorization of 2409


3 2409
11 803
73 73
1

Prime factors of 2409 are 3, 11,73. Prime factorization of 2409 in exponential form is:

2409 = 31×111×731

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 2409 and 2410.

LCM(2409,2410) = 21×31×51×111×731×2411
LCM(2409,2410) = 5805690

Factors of 2409

List of positive integer factors of 2409 that divides 2409 without a remainder.

1, 3, 11, 33, 73, 219, 803, 2409

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 2409 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 2409 and 2410, than apply into the LCM equation.

GCF(2409,2410) = 1
LCM(2409,2410) = ( 2409 × 2410) / 1
LCM(2409,2410) = 5805690 / 1
LCM(2409,2410) = 5805690

Properties of LCM 2409 and 2410

(i) The LCM of 2410 and 2409 is associative

LCM of 2409 and 2410 = LCM of 2410 and 2409

Related Least Common Multiples of 2409

Related Least Common Multiples of 2410

Frequently Asked Questions on LCM of 2409 and 2410

1. What is the LCM of 2409 and 2410?

Answer: LCM of 2409 and 2410 is 5805690.

2. What are the Factors of 2409?

Answer: Factors of 2409 are 1, 3, 11, 33, 73, 219, 803, 2409. There are 8 integers that are factors of 2409. The greatest factor of 2409 is 2409.

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 2409 and 2410?

Answer:

Least Common Multiple of 2409 and 2410 = 5805690

Step 1: Find the prime factorization of 2409

2409 = 3 x 11 x 73

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 = 5805690 = 2 x 3 x 5 x 11 x 73 x 241

Step 4: Therefore, the least common multiple of 2409 and 2410 is 5805690.