Least Common Multiple of 2402 and 2409

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 2409 the smallest integer that is 5786418 that is divisible by both numbers.

Least Common Multiple (LCM) of 2402 and 2409 is 5786418.

LCM(2402,2409) = 5786418

LCM of 2402 and 2409

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

LCM of:
and

Least Common Multiple of 2402 and 2409

LCM of 2402 and 2409 is 5786418

Least common multiple can be found by multiplying the highest exponent prime factors of 2402 and 2409. First we will calculate the prime factors of 2402 and 2409.

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 2409


3 2409
11 803
73 73
1

Prime factors of 2409 are 3, 11,73. Prime factorization of 2409 in exponential form is:

2409 = 31×111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2402 and 2409.

LCM(2402,2409) = 21×31×111×731×12011
LCM(2402,2409) = 5786418

Factors of 2402

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

1, 2, 1201, 2402

Factors of 2409

List of positive integer factors of 2409 that divides 2409 without a remainder.

1, 3, 11, 33, 73, 219, 803, 2409

Least Common Multiple of 2402 and 2409 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 2409, than apply into the LCM equation.

GCF(2402,2409) = 1
LCM(2402,2409) = ( 2402 × 2409) / 1
LCM(2402,2409) = 5786418 / 1
LCM(2402,2409) = 5786418

Properties of LCM 2402 and 2409

(i) The LCM of 2409 and 2402 is associative

LCM of 2402 and 2409 = LCM of 2409 and 2402

Related Least Common Multiples of 2402

Related Least Common Multiples of 2409

Frequently Asked Questions on LCM of 2402 and 2409

1. What is the LCM of 2402 and 2409?

Answer: LCM of 2402 and 2409 is 5786418.

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 2409?

Answer: Factors of 2409 are 1, 3, 11, 33, 73, 219, 803, 2409. There are 8 integers that are factors of 2409. The greatest factor of 2409 is 2409.

4. How to Find the LCM of 2402 and 2409?

Answer:

Least Common Multiple of 2402 and 2409 = 5786418

Step 1: Find the prime factorization of 2402

2402 = 2 x 1201

Step 2: Find the prime factorization of 2409

2409 = 3 x 11 x 73

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

LCM = 5786418 = 2 x 3 x 11 x 73 x 1201

Step 4: Therefore, the least common multiple of 2402 and 2409 is 5786418.