Least Common Multiple of 2415 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 2415 and 2417 the smallest integer that is 5837055 that is divisible by both numbers.

Least Common Multiple (LCM) of 2415 and 2417 is 5837055.

LCM(2415,2417) = 5837055

LCM of 2415 and 2417

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

LCM of:
and

Least Common Multiple of 2415 and 2417

LCM of 2415 and 2417 is 5837055

Least common multiple can be found by multiplying the highest exponent prime factors of 2415 and 2417. First we will calculate the prime factors of 2415 and 2417.

Prime Factorization of 2415


3 2415
5 805
7 161
23 23
1

Prime factors of 2415 are 3, 5, 7,23. Prime factorization of 2415 in exponential form is:

2415 = 31×51×71×231

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 2415 and 2417.

LCM(2415,2417) = 31×51×71×231×24171
LCM(2415,2417) = 5837055

Factors of 2415

List of positive integer factors of 2415 that divides 2415 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415

Factors of 2417

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

1, 2417

Least Common Multiple of 2415 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 2415 and 2417, than apply into the LCM equation.

GCF(2415,2417) = 1
LCM(2415,2417) = ( 2415 × 2417) / 1
LCM(2415,2417) = 5837055 / 1
LCM(2415,2417) = 5837055

Properties of LCM 2415 and 2417

(i) The LCM of 2417 and 2415 is associative

LCM of 2415 and 2417 = LCM of 2417 and 2415

Related Least Common Multiples of 2415

Related Least Common Multiples of 2417

Frequently Asked Questions on LCM of 2415 and 2417

1. What is the LCM of 2415 and 2417?

Answer: LCM of 2415 and 2417 is 5837055.

2. What are the Factors of 2415?

Answer: Factors of 2415 are 1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415. There are 16 integers that are factors of 2415. The greatest factor of 2415 is 2415.

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 2415 and 2417?

Answer:

Least Common Multiple of 2415 and 2417 = 5837055

Step 1: Find the prime factorization of 2415

2415 = 3 x 5 x 7 x 23

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 = 5837055 = 3 x 5 x 7 x 23 x 2417

Step 4: Therefore, the least common multiple of 2415 and 2417 is 5837055.