Least Common Multiple of 2396 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 2396 and 2401 the smallest integer that is 5752796 that is divisible by both numbers.

Least Common Multiple (LCM) of 2396 and 2401 is 5752796.

LCM(2396,2401) = 5752796

LCM of 2396 and 2401

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

LCM of:
and

Least Common Multiple of 2396 and 2401

LCM of 2396 and 2401 is 5752796

Least common multiple can be found by multiplying the highest exponent prime factors of 2396 and 2401. First we will calculate the prime factors of 2396 and 2401.

Prime Factorization of 2396


2 2396
2 1198
599 599
1

Prime factors of 2396 are 2,599. Prime factorization of 2396 in exponential form is:

2396 = 22×5991

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 2396 and 2401.

LCM(2396,2401) = 22×74×5991
LCM(2396,2401) = 5752796

Factors of 2396

List of positive integer factors of 2396 that divides 2396 without a remainder.

1, 2, 4, 599, 1198, 2396

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 2396 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 2396 and 2401, than apply into the LCM equation.

GCF(2396,2401) = 1
LCM(2396,2401) = ( 2396 × 2401) / 1
LCM(2396,2401) = 5752796 / 1
LCM(2396,2401) = 5752796

Properties of LCM 2396 and 2401

(i) The LCM of 2401 and 2396 is associative

LCM of 2396 and 2401 = LCM of 2401 and 2396

Related Least Common Multiples of 2396

Related Least Common Multiples of 2401

Frequently Asked Questions on LCM of 2396 and 2401

1. What is the LCM of 2396 and 2401?

Answer: LCM of 2396 and 2401 is 5752796.

2. What are the Factors of 2396?

Answer: Factors of 2396 are 1, 2, 4, 599, 1198, 2396. There are 6 integers that are factors of 2396. The greatest factor of 2396 is 2396.

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 2396 and 2401?

Answer:

Least Common Multiple of 2396 and 2401 = 5752796

Step 1: Find the prime factorization of 2396

2396 = 2 x 2 x 599

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 = 5752796 = 2 x 2 x 7 x 7 x 7 x 7 x 599

Step 4: Therefore, the least common multiple of 2396 and 2401 is 5752796.