Least Common Multiple of 2398 and 2401

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 2401 the smallest integer that is 5757598 that is divisible by both numbers.

Least Common Multiple (LCM) of 2398 and 2401 is 5757598.

LCM(2398,2401) = 5757598

LCM of 2398 and 2401

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

LCM of:
and

Least Common Multiple of 2398 and 2401

LCM of 2398 and 2401 is 5757598

Least common multiple can be found by multiplying the highest exponent prime factors of 2398 and 2401. First we will calculate the prime factors of 2398 and 2401.

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 2401


7 2401
7 343
7 49
7 7
1

Prime factors of 2401 are 7. Prime factorization of 2401 in exponential form is:

2401 = 74

Now multiplying the highest exponent prime factors to calculate the LCM of 2398 and 2401.

LCM(2398,2401) = 21×74×111×1091
LCM(2398,2401) = 5757598

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 2401

List of positive integer factors of 2401 that divides 2401 without a remainder.

1, 7, 49, 343, 2401

Least Common Multiple of 2398 and 2401 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 2401, than apply into the LCM equation.

GCF(2398,2401) = 1
LCM(2398,2401) = ( 2398 × 2401) / 1
LCM(2398,2401) = 5757598 / 1
LCM(2398,2401) = 5757598

Properties of LCM 2398 and 2401

(i) The LCM of 2401 and 2398 is associative

LCM of 2398 and 2401 = LCM of 2401 and 2398

Related Least Common Multiples of 2398

Related Least Common Multiples of 2401

Frequently Asked Questions on LCM of 2398 and 2401

1. What is the LCM of 2398 and 2401?

Answer: LCM of 2398 and 2401 is 5757598.

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 2401?

Answer: Factors of 2401 are 1, 7, 49, 343, 2401. There are 5 integers that are factors of 2401. The greatest factor of 2401 is 2401.

4. How to Find the LCM of 2398 and 2401?

Answer:

Least Common Multiple of 2398 and 2401 = 5757598

Step 1: Find the prime factorization of 2398

2398 = 2 x 11 x 109

Step 2: Find the prime factorization of 2401

2401 = 7 x 7 x 7 x 7

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

LCM = 5757598 = 2 x 7 x 7 x 7 x 7 x 11 x 109

Step 4: Therefore, the least common multiple of 2398 and 2401 is 5757598.