Least Common Multiple of 2402 and 2404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2402 and 2404 the smallest integer that is 2887204 that is divisible by both numbers.

Least Common Multiple (LCM) of 2402 and 2404 is 2887204.

LCM(2402,2404) = 2887204

LCM of 2402 and 2404

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

LCM of:
and

Least Common Multiple of 2402 and 2404

LCM of 2402 and 2404 is 2887204

Least common multiple can be found by multiplying the highest exponent prime factors of 2402 and 2404. First we will calculate the prime factors of 2402 and 2404.

Prime Factorization of 2402


2 2402
1201 1201
1

Prime factors of 2402 are 2,1201. Prime factorization of 2402 in exponential form is:

2402 = 21×12011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2402 and 2404.

LCM(2402,2404) = 22×6011×12011
LCM(2402,2404) = 2887204

Factors of 2402

List of positive integer factors of 2402 that divides 2402 without a remainder.

1, 2, 1201, 2402

Factors of 2404

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

1, 2, 4, 601, 1202, 2404

Least Common Multiple of 2402 and 2404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2402 and 2404, than apply into the LCM equation.

GCF(2402,2404) = 2
LCM(2402,2404) = ( 2402 × 2404) / 2
LCM(2402,2404) = 5774408 / 2
LCM(2402,2404) = 2887204

Properties of LCM 2402 and 2404

(i) The LCM of 2404 and 2402 is associative

LCM of 2402 and 2404 = LCM of 2404 and 2402

Related Least Common Multiples of 2402

Related Least Common Multiples of 2404

Frequently Asked Questions on LCM of 2402 and 2404

1. What is the LCM of 2402 and 2404?

Answer: LCM of 2402 and 2404 is 2887204.

2. What are the Factors of 2402?

Answer: Factors of 2402 are 1, 2, 1201, 2402. There are 4 integers that are factors of 2402. The greatest factor of 2402 is 2402.

3. 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.

4. How to Find the LCM of 2402 and 2404?

Answer:

Least Common Multiple of 2402 and 2404 = 2887204

Step 1: Find the prime factorization of 2402

2402 = 2 x 1201

Step 2: Find the prime factorization of 2404

2404 = 2 x 2 x 601

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

LCM = 2887204 = 2 x 2 x 601 x 1201

Step 4: Therefore, the least common multiple of 2402 and 2404 is 2887204.