Least Common Multiple of 2417 and 2421

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 2421 the smallest integer that is 5851557 that is divisible by both numbers.

Least Common Multiple (LCM) of 2417 and 2421 is 5851557.

LCM(2417,2421) = 5851557

LCM of 2417 and 2421

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

LCM of:
and

Least Common Multiple of 2417 and 2421

LCM of 2417 and 2421 is 5851557

Least common multiple can be found by multiplying the highest exponent prime factors of 2417 and 2421. First we will calculate the prime factors of 2417 and 2421.

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 2421


3 2421
3 807
269 269
1

Prime factors of 2421 are 3,269. Prime factorization of 2421 in exponential form is:

2421 = 32×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 2417 and 2421.

LCM(2417,2421) = 32×2691×24171
LCM(2417,2421) = 5851557

Factors of 2417

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

1, 2417

Factors of 2421

List of positive integer factors of 2421 that divides 2421 without a remainder.

1, 3, 9, 269, 807, 2421

Least Common Multiple of 2417 and 2421 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 2421, than apply into the LCM equation.

GCF(2417,2421) = 1
LCM(2417,2421) = ( 2417 × 2421) / 1
LCM(2417,2421) = 5851557 / 1
LCM(2417,2421) = 5851557

Properties of LCM 2417 and 2421

(i) The LCM of 2421 and 2417 is associative

LCM of 2417 and 2421 = LCM of 2421 and 2417

Related Least Common Multiples of 2417

Related Least Common Multiples of 2421

Frequently Asked Questions on LCM of 2417 and 2421

1. What is the LCM of 2417 and 2421?

Answer: LCM of 2417 and 2421 is 5851557.

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 2421?

Answer: Factors of 2421 are 1, 3, 9, 269, 807, 2421. There are 6 integers that are factors of 2421. The greatest factor of 2421 is 2421.

4. How to Find the LCM of 2417 and 2421?

Answer:

Least Common Multiple of 2417 and 2421 = 5851557

Step 1: Find the prime factorization of 2417

2417 = 2417

Step 2: Find the prime factorization of 2421

2421 = 3 x 3 x 269

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

LCM = 5851557 = 3 x 3 x 269 x 2417

Step 4: Therefore, the least common multiple of 2417 and 2421 is 5851557.