Least Common Multiple of 2417 and 2424

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 2424 the smallest integer that is 5858808 that is divisible by both numbers.

Least Common Multiple (LCM) of 2417 and 2424 is 5858808.

LCM(2417,2424) = 5858808

LCM of 2417 and 2424

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

LCM of:
and

Least Common Multiple of 2417 and 2424

LCM of 2417 and 2424 is 5858808

Least common multiple can be found by multiplying the highest exponent prime factors of 2417 and 2424. First we will calculate the prime factors of 2417 and 2424.

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 2424


2 2424
2 1212
2 606
3 303
101 101
1

Prime factors of 2424 are 2, 3,101. Prime factorization of 2424 in exponential form is:

2424 = 23×31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 2417 and 2424.

LCM(2417,2424) = 23×31×1011×24171
LCM(2417,2424) = 5858808

Factors of 2417

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

1, 2417

Factors of 2424

List of positive integer factors of 2424 that divides 2424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424

Least Common Multiple of 2417 and 2424 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 2424, than apply into the LCM equation.

GCF(2417,2424) = 1
LCM(2417,2424) = ( 2417 × 2424) / 1
LCM(2417,2424) = 5858808 / 1
LCM(2417,2424) = 5858808

Properties of LCM 2417 and 2424

(i) The LCM of 2424 and 2417 is associative

LCM of 2417 and 2424 = LCM of 2424 and 2417

Related Least Common Multiples of 2417

Related Least Common Multiples of 2424

Frequently Asked Questions on LCM of 2417 and 2424

1. What is the LCM of 2417 and 2424?

Answer: LCM of 2417 and 2424 is 5858808.

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 2424?

Answer: Factors of 2424 are 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424. There are 16 integers that are factors of 2424. The greatest factor of 2424 is 2424.

4. How to Find the LCM of 2417 and 2424?

Answer:

Least Common Multiple of 2417 and 2424 = 5858808

Step 1: Find the prime factorization of 2417

2417 = 2417

Step 2: Find the prime factorization of 2424

2424 = 2 x 2 x 2 x 3 x 101

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

LCM = 5858808 = 2 x 2 x 2 x 3 x 101 x 2417

Step 4: Therefore, the least common multiple of 2417 and 2424 is 5858808.