Least Common Multiple of 2412 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 2412 and 2417 the smallest integer that is 5829804 that is divisible by both numbers.

Least Common Multiple (LCM) of 2412 and 2417 is 5829804.

LCM(2412,2417) = 5829804

LCM of 2412 and 2417

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

LCM of:
and

Least Common Multiple of 2412 and 2417

LCM of 2412 and 2417 is 5829804

Least common multiple can be found by multiplying the highest exponent prime factors of 2412 and 2417. First we will calculate the prime factors of 2412 and 2417.

Prime Factorization of 2412


2 2412
2 1206
3 603
3 201
67 67
1

Prime factors of 2412 are 2, 3,67. Prime factorization of 2412 in exponential form is:

2412 = 22×32×671

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 2412 and 2417.

LCM(2412,2417) = 22×32×671×24171
LCM(2412,2417) = 5829804

Factors of 2412

List of positive integer factors of 2412 that divides 2412 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412

Factors of 2417

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

1, 2417

Least Common Multiple of 2412 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 2412 and 2417, than apply into the LCM equation.

GCF(2412,2417) = 1
LCM(2412,2417) = ( 2412 × 2417) / 1
LCM(2412,2417) = 5829804 / 1
LCM(2412,2417) = 5829804

Properties of LCM 2412 and 2417

(i) The LCM of 2417 and 2412 is associative

LCM of 2412 and 2417 = LCM of 2417 and 2412

Related Least Common Multiples of 2412

Related Least Common Multiples of 2417

Frequently Asked Questions on LCM of 2412 and 2417

1. What is the LCM of 2412 and 2417?

Answer: LCM of 2412 and 2417 is 5829804.

2. What are the Factors of 2412?

Answer: Factors of 2412 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412. There are 18 integers that are factors of 2412. The greatest factor of 2412 is 2412.

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 2412 and 2417?

Answer:

Least Common Multiple of 2412 and 2417 = 5829804

Step 1: Find the prime factorization of 2412

2412 = 2 x 2 x 3 x 3 x 67

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 = 5829804 = 2 x 2 x 3 x 3 x 67 x 2417

Step 4: Therefore, the least common multiple of 2412 and 2417 is 5829804.