Least Common Multiple of 2404 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 2404 and 2412 the smallest integer that is 1449612 that is divisible by both numbers.

Least Common Multiple (LCM) of 2404 and 2412 is 1449612.

LCM(2404,2412) = 1449612

LCM of 2404 and 2412

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

LCM of:
and

Least Common Multiple of 2404 and 2412

LCM of 2404 and 2412 is 1449612

Least common multiple can be found by multiplying the highest exponent prime factors of 2404 and 2412. First we will calculate the prime factors of 2404 and 2412.

Prime Factorization of 2404


2 2404
2 1202
601 601
1

Prime factors of 2404 are 2,601. Prime factorization of 2404 in exponential form is:

2404 = 22×6011

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 2404 and 2412.

LCM(2404,2412) = 22×32×671×6011
LCM(2404,2412) = 1449612

Factors of 2404

List of positive integer factors of 2404 that divides 2404 without a remainder.

1, 2, 4, 601, 1202, 2404

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 2404 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 2404 and 2412, than apply into the LCM equation.

GCF(2404,2412) = 4
LCM(2404,2412) = ( 2404 × 2412) / 4
LCM(2404,2412) = 5798448 / 4
LCM(2404,2412) = 1449612

Properties of LCM 2404 and 2412

(i) The LCM of 2412 and 2404 is associative

LCM of 2404 and 2412 = LCM of 2412 and 2404

Related Least Common Multiples of 2404

Related Least Common Multiples of 2412

Frequently Asked Questions on LCM of 2404 and 2412

1. What is the LCM of 2404 and 2412?

Answer: LCM of 2404 and 2412 is 1449612.

2. What are the Factors of 2404?

Answer: Factors of 2404 are 1, 2, 4, 601, 1202, 2404. There are 6 integers that are factors of 2404. The greatest factor of 2404 is 2404.

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 2404 and 2412?

Answer:

Least Common Multiple of 2404 and 2412 = 1449612

Step 1: Find the prime factorization of 2404

2404 = 2 x 2 x 601

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 = 1449612 = 2 x 2 x 3 x 3 x 67 x 601

Step 4: Therefore, the least common multiple of 2404 and 2412 is 1449612.