Least Common Multiple of 2396 and 2400

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 2400 the smallest integer that is 1437600 that is divisible by both numbers.

Least Common Multiple (LCM) of 2396 and 2400 is 1437600.

LCM(2396,2400) = 1437600

LCM of 2396 and 2400

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

LCM of:
and

Least Common Multiple of 2396 and 2400

LCM of 2396 and 2400 is 1437600

Least common multiple can be found by multiplying the highest exponent prime factors of 2396 and 2400. First we will calculate the prime factors of 2396 and 2400.

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 2400


2 2400
2 1200
2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 2400 are 2, 3,5. Prime factorization of 2400 in exponential form is:

2400 = 25×31×52

Now multiplying the highest exponent prime factors to calculate the LCM of 2396 and 2400.

LCM(2396,2400) = 25×31×52×5991
LCM(2396,2400) = 1437600

Factors of 2396

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

1, 2, 4, 599, 1198, 2396

Factors of 2400

List of positive integer factors of 2400 that divides 2400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400

Least Common Multiple of 2396 and 2400 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 2400, than apply into the LCM equation.

GCF(2396,2400) = 4
LCM(2396,2400) = ( 2396 × 2400) / 4
LCM(2396,2400) = 5750400 / 4
LCM(2396,2400) = 1437600

Properties of LCM 2396 and 2400

(i) The LCM of 2400 and 2396 is associative

LCM of 2396 and 2400 = LCM of 2400 and 2396

Related Least Common Multiples of 2396

Related Least Common Multiples of 2400

Frequently Asked Questions on LCM of 2396 and 2400

1. What is the LCM of 2396 and 2400?

Answer: LCM of 2396 and 2400 is 1437600.

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 2400?

Answer: Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400. There are 36 integers that are factors of 2400. The greatest factor of 2400 is 2400.

4. How to Find the LCM of 2396 and 2400?

Answer:

Least Common Multiple of 2396 and 2400 = 1437600

Step 1: Find the prime factorization of 2396

2396 = 2 x 2 x 599

Step 2: Find the prime factorization of 2400

2400 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5

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

LCM = 1437600 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 599

Step 4: Therefore, the least common multiple of 2396 and 2400 is 1437600.