Least Common Multiple of 2398 and 2403

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 2403 the smallest integer that is 5762394 that is divisible by both numbers.

Least Common Multiple (LCM) of 2398 and 2403 is 5762394.

LCM(2398,2403) = 5762394

LCM of 2398 and 2403

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

LCM of:
and

Least Common Multiple of 2398 and 2403

LCM of 2398 and 2403 is 5762394

Least common multiple can be found by multiplying the highest exponent prime factors of 2398 and 2403. First we will calculate the prime factors of 2398 and 2403.

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 2403


3 2403
3 801
3 267
89 89
1

Prime factors of 2403 are 3,89. Prime factorization of 2403 in exponential form is:

2403 = 33×891

Now multiplying the highest exponent prime factors to calculate the LCM of 2398 and 2403.

LCM(2398,2403) = 21×33×111×891×1091
LCM(2398,2403) = 5762394

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 2403

List of positive integer factors of 2403 that divides 2403 without a remainder.

1, 3, 9, 27, 89, 267, 801, 2403

Least Common Multiple of 2398 and 2403 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 2403, than apply into the LCM equation.

GCF(2398,2403) = 1
LCM(2398,2403) = ( 2398 × 2403) / 1
LCM(2398,2403) = 5762394 / 1
LCM(2398,2403) = 5762394

Properties of LCM 2398 and 2403

(i) The LCM of 2403 and 2398 is associative

LCM of 2398 and 2403 = LCM of 2403 and 2398

Related Least Common Multiples of 2398

Related Least Common Multiples of 2403

Frequently Asked Questions on LCM of 2398 and 2403

1. What is the LCM of 2398 and 2403?

Answer: LCM of 2398 and 2403 is 5762394.

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 2403?

Answer: Factors of 2403 are 1, 3, 9, 27, 89, 267, 801, 2403. There are 8 integers that are factors of 2403. The greatest factor of 2403 is 2403.

4. How to Find the LCM of 2398 and 2403?

Answer:

Least Common Multiple of 2398 and 2403 = 5762394

Step 1: Find the prime factorization of 2398

2398 = 2 x 11 x 109

Step 2: Find the prime factorization of 2403

2403 = 3 x 3 x 3 x 89

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

LCM = 5762394 = 2 x 3 x 3 x 3 x 11 x 89 x 109

Step 4: Therefore, the least common multiple of 2398 and 2403 is 5762394.