Least Common Multiple of 2410 and 2414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2410 and 2414 the smallest integer that is 2908870 that is divisible by both numbers.

Least Common Multiple (LCM) of 2410 and 2414 is 2908870.

LCM(2410,2414) = 2908870

LCM of 2410 and 2414

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

LCM of:
and

Least Common Multiple of 2410 and 2414

LCM of 2410 and 2414 is 2908870

Least common multiple can be found by multiplying the highest exponent prime factors of 2410 and 2414. First we will calculate the prime factors of 2410 and 2414.

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

Prime Factorization of 2414


2 2414
17 1207
71 71
1

Prime factors of 2414 are 2, 17,71. Prime factorization of 2414 in exponential form is:

2414 = 21×171×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2410 and 2414.

LCM(2410,2414) = 21×51×171×711×2411
LCM(2410,2414) = 2908870

Factors of 2410

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

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

Factors of 2414

List of positive integer factors of 2414 that divides 2414 without a remainder.

1, 2, 17, 34, 71, 142, 1207, 2414

Least Common Multiple of 2410 and 2414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2410 and 2414, than apply into the LCM equation.

GCF(2410,2414) = 2
LCM(2410,2414) = ( 2410 × 2414) / 2
LCM(2410,2414) = 5817740 / 2
LCM(2410,2414) = 2908870

Properties of LCM 2410 and 2414

(i) The LCM of 2414 and 2410 is associative

LCM of 2410 and 2414 = LCM of 2414 and 2410

Related Least Common Multiples of 2410

Related Least Common Multiples of 2414

Frequently Asked Questions on LCM of 2410 and 2414

1. What is the LCM of 2410 and 2414?

Answer: LCM of 2410 and 2414 is 2908870.

2. 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.

3. What are the Factors of 2414?

Answer: Factors of 2414 are 1, 2, 17, 34, 71, 142, 1207, 2414. There are 8 integers that are factors of 2414. The greatest factor of 2414 is 2414.

4. How to Find the LCM of 2410 and 2414?

Answer:

Least Common Multiple of 2410 and 2414 = 2908870

Step 1: Find the prime factorization of 2410

2410 = 2 x 5 x 241

Step 2: Find the prime factorization of 2414

2414 = 2 x 17 x 71

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

LCM = 2908870 = 2 x 5 x 17 x 71 x 241

Step 4: Therefore, the least common multiple of 2410 and 2414 is 2908870.