Least Common Multiple of 2417 and 2425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2417 and 2425 the smallest integer that is 5861225 that is divisible by both numbers.

Least Common Multiple (LCM) of 2417 and 2425 is 5861225.

LCM(2417,2425) = 5861225

LCM of 2417 and 2425

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

LCM of:
and

Least Common Multiple of 2417 and 2425

LCM of 2417 and 2425 is 5861225

Least common multiple can be found by multiplying the highest exponent prime factors of 2417 and 2425. First we will calculate the prime factors of 2417 and 2425.

Prime Factorization of 2417


2417 2417
1

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

2417 = 24171

Prime Factorization of 2425


5 2425
5 485
97 97
1

Prime factors of 2425 are 5,97. Prime factorization of 2425 in exponential form is:

2425 = 52×971

Now multiplying the highest exponent prime factors to calculate the LCM of 2417 and 2425.

LCM(2417,2425) = 52×971×24171
LCM(2417,2425) = 5861225

Factors of 2417

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

1, 2417

Factors of 2425

List of positive integer factors of 2425 that divides 2425 without a remainder.

1, 5, 25, 97, 485, 2425

Least Common Multiple of 2417 and 2425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2417 and 2425, than apply into the LCM equation.

GCF(2417,2425) = 1
LCM(2417,2425) = ( 2417 × 2425) / 1
LCM(2417,2425) = 5861225 / 1
LCM(2417,2425) = 5861225

Properties of LCM 2417 and 2425

(i) The LCM of 2425 and 2417 is associative

LCM of 2417 and 2425 = LCM of 2425 and 2417

Related Least Common Multiples of 2417

Related Least Common Multiples of 2425

Frequently Asked Questions on LCM of 2417 and 2425

1. What is the LCM of 2417 and 2425?

Answer: LCM of 2417 and 2425 is 5861225.

2. 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.

3. What are the Factors of 2425?

Answer: Factors of 2425 are 1, 5, 25, 97, 485, 2425. There are 6 integers that are factors of 2425. The greatest factor of 2425 is 2425.

4. How to Find the LCM of 2417 and 2425?

Answer:

Least Common Multiple of 2417 and 2425 = 5861225

Step 1: Find the prime factorization of 2417

2417 = 2417

Step 2: Find the prime factorization of 2425

2425 = 5 x 5 x 97

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

LCM = 5861225 = 5 x 5 x 97 x 2417

Step 4: Therefore, the least common multiple of 2417 and 2425 is 5861225.