Least Common Multiple of 2410 and 2417

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 2417 the smallest integer that is 5824970 that is divisible by both numbers.

Least Common Multiple (LCM) of 2410 and 2417 is 5824970.

LCM(2410,2417) = 5824970

LCM of 2410 and 2417

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

LCM of:
and

Least Common Multiple of 2410 and 2417

LCM of 2410 and 2417 is 5824970

Least common multiple can be found by multiplying the highest exponent prime factors of 2410 and 2417. First we will calculate the prime factors of 2410 and 2417.

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 2417


2417 2417
1

Prime factors of 2417 are 2417. Prime factorization of 2417 in exponential form is:

2417 = 24171

Now multiplying the highest exponent prime factors to calculate the LCM of 2410 and 2417.

LCM(2410,2417) = 21×51×2411×24171
LCM(2410,2417) = 5824970

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 2417

List of positive integer factors of 2417 that divides 2417 without a remainder.

1, 2417

Least Common Multiple of 2410 and 2417 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 2417, than apply into the LCM equation.

GCF(2410,2417) = 1
LCM(2410,2417) = ( 2410 × 2417) / 1
LCM(2410,2417) = 5824970 / 1
LCM(2410,2417) = 5824970

Properties of LCM 2410 and 2417

(i) The LCM of 2417 and 2410 is associative

LCM of 2410 and 2417 = LCM of 2417 and 2410

Related Least Common Multiples of 2410

Related Least Common Multiples of 2417

Frequently Asked Questions on LCM of 2410 and 2417

1. What is the LCM of 2410 and 2417?

Answer: LCM of 2410 and 2417 is 5824970.

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 2417?

Answer: Factors of 2417 are 1, 2417. There are 2 integers that are factors of 2417. The greatest factor of 2417 is 2417.

4. How to Find the LCM of 2410 and 2417?

Answer:

Least Common Multiple of 2410 and 2417 = 5824970

Step 1: Find the prime factorization of 2410

2410 = 2 x 5 x 241

Step 2: Find the prime factorization of 2417

2417 = 2417

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

LCM = 5824970 = 2 x 5 x 241 x 2417

Step 4: Therefore, the least common multiple of 2410 and 2417 is 5824970.