Least Common Multiple of 2405 and 2412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2405 and 2412 the smallest integer that is 5800860 that is divisible by both numbers.

Least Common Multiple (LCM) of 2405 and 2412 is 5800860.

LCM(2405,2412) = 5800860

LCM of 2405 and 2412

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

LCM of:
and

Least Common Multiple of 2405 and 2412

LCM of 2405 and 2412 is 5800860

Least common multiple can be found by multiplying the highest exponent prime factors of 2405 and 2412. First we will calculate the prime factors of 2405 and 2412.

Prime Factorization of 2405


5 2405
13 481
37 37
1

Prime factors of 2405 are 5, 13,37. Prime factorization of 2405 in exponential form is:

2405 = 51×131×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2405 and 2412.

LCM(2405,2412) = 22×32×51×131×371×671
LCM(2405,2412) = 5800860

Factors of 2405

List of positive integer factors of 2405 that divides 2405 without a remainder.

1, 5, 13, 37, 65, 185, 481, 2405

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

Least Common Multiple of 2405 and 2412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2405 and 2412, than apply into the LCM equation.

GCF(2405,2412) = 1
LCM(2405,2412) = ( 2405 × 2412) / 1
LCM(2405,2412) = 5800860 / 1
LCM(2405,2412) = 5800860

Properties of LCM 2405 and 2412

(i) The LCM of 2412 and 2405 is associative

LCM of 2405 and 2412 = LCM of 2412 and 2405

Related Least Common Multiples of 2405

Related Least Common Multiples of 2412

Frequently Asked Questions on LCM of 2405 and 2412

1. What is the LCM of 2405 and 2412?

Answer: LCM of 2405 and 2412 is 5800860.

2. What are the Factors of 2405?

Answer: Factors of 2405 are 1, 5, 13, 37, 65, 185, 481, 2405. There are 8 integers that are factors of 2405. The greatest factor of 2405 is 2405.

3. 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.

4. How to Find the LCM of 2405 and 2412?

Answer:

Least Common Multiple of 2405 and 2412 = 5800860

Step 1: Find the prime factorization of 2405

2405 = 5 x 13 x 37

Step 2: Find the prime factorization of 2412

2412 = 2 x 2 x 3 x 3 x 67

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

LCM = 5800860 = 2 x 2 x 3 x 3 x 5 x 13 x 37 x 67

Step 4: Therefore, the least common multiple of 2405 and 2412 is 5800860.