Least Common Multiple of 2398 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 2398 and 2402 the smallest integer that is 2879998 that is divisible by both numbers.

Least Common Multiple (LCM) of 2398 and 2402 is 2879998.

LCM(2398,2402) = 2879998

LCM of 2398 and 2402

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

LCM of:
and

Least Common Multiple of 2398 and 2402

LCM of 2398 and 2402 is 2879998

Least common multiple can be found by multiplying the highest exponent prime factors of 2398 and 2402. First we will calculate the prime factors of 2398 and 2402.

Prime Factorization of 2398


2 2398
11 1199
109 109
1

Prime factors of 2398 are 2, 11,109. Prime factorization of 2398 in exponential form is:

2398 = 21×111×1091

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 2398 and 2402.

LCM(2398,2402) = 21×111×1091×12011
LCM(2398,2402) = 2879998

Factors of 2398

List of positive integer factors of 2398 that divides 2398 without a remainder.

1, 2, 11, 22, 109, 218, 1199, 2398

Factors of 2402

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

1, 2, 1201, 2402

Least Common Multiple of 2398 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 2398 and 2402, than apply into the LCM equation.

GCF(2398,2402) = 2
LCM(2398,2402) = ( 2398 × 2402) / 2
LCM(2398,2402) = 5759996 / 2
LCM(2398,2402) = 2879998

Properties of LCM 2398 and 2402

(i) The LCM of 2402 and 2398 is associative

LCM of 2398 and 2402 = LCM of 2402 and 2398

Related Least Common Multiples of 2398

Related Least Common Multiples of 2402

Frequently Asked Questions on LCM of 2398 and 2402

1. What is the LCM of 2398 and 2402?

Answer: LCM of 2398 and 2402 is 2879998.

2. What are the Factors of 2398?

Answer: Factors of 2398 are 1, 2, 11, 22, 109, 218, 1199, 2398. There are 8 integers that are factors of 2398. The greatest factor of 2398 is 2398.

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 2398 and 2402?

Answer:

Least Common Multiple of 2398 and 2402 = 2879998

Step 1: Find the prime factorization of 2398

2398 = 2 x 11 x 109

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 = 2879998 = 2 x 11 x 109 x 1201

Step 4: Therefore, the least common multiple of 2398 and 2402 is 2879998.