Least Common Multiple of 2399 and 2402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2399 and 2402 the smallest integer that is 5762398 that is divisible by both numbers.

Least Common Multiple (LCM) of 2399 and 2402 is 5762398.

LCM(2399,2402) = 5762398

LCM of 2399 and 2402

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

LCM of:
and

Least Common Multiple of 2399 and 2402

LCM of 2399 and 2402 is 5762398

Least common multiple can be found by multiplying the highest exponent prime factors of 2399 and 2402. First we will calculate the prime factors of 2399 and 2402.

Prime Factorization of 2399


2399 2399
1

Prime factors of 2399 are 2399. Prime factorization of 2399 in exponential form is:

2399 = 23991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2399 and 2402.

LCM(2399,2402) = 21×12011×23991
LCM(2399,2402) = 5762398

Factors of 2399

List of positive integer factors of 2399 that divides 2399 without a remainder.

1, 2399

Factors of 2402

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

1, 2, 1201, 2402

Least Common Multiple of 2399 and 2402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2399 and 2402, than apply into the LCM equation.

GCF(2399,2402) = 1
LCM(2399,2402) = ( 2399 × 2402) / 1
LCM(2399,2402) = 5762398 / 1
LCM(2399,2402) = 5762398

Properties of LCM 2399 and 2402

(i) The LCM of 2402 and 2399 is associative

LCM of 2399 and 2402 = LCM of 2402 and 2399

Related Least Common Multiples of 2399

Related Least Common Multiples of 2402

Frequently Asked Questions on LCM of 2399 and 2402

1. What is the LCM of 2399 and 2402?

Answer: LCM of 2399 and 2402 is 5762398.

2. What are the Factors of 2399?

Answer: Factors of 2399 are 1, 2399. There are 2 integers that are factors of 2399. The greatest factor of 2399 is 2399.

3. 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.

4. How to Find the LCM of 2399 and 2402?

Answer:

Least Common Multiple of 2399 and 2402 = 5762398

Step 1: Find the prime factorization of 2399

2399 = 2399

Step 2: Find the prime factorization of 2402

2402 = 2 x 1201

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

LCM = 5762398 = 2 x 1201 x 2399

Step 4: Therefore, the least common multiple of 2399 and 2402 is 5762398.