Least Common Multiple of 2395 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 2395 and 2400 the smallest integer that is 1149600 that is divisible by both numbers.

Least Common Multiple (LCM) of 2395 and 2400 is 1149600.

LCM(2395,2400) = 1149600

LCM of 2395 and 2400

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

LCM of:
and

Least Common Multiple of 2395 and 2400

LCM of 2395 and 2400 is 1149600

Least common multiple can be found by multiplying the highest exponent prime factors of 2395 and 2400. First we will calculate the prime factors of 2395 and 2400.

Prime Factorization of 2395


5 2395
479 479
1

Prime factors of 2395 are 5,479. Prime factorization of 2395 in exponential form is:

2395 = 51×4791

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 2395 and 2400.

LCM(2395,2400) = 25×31×52×4791
LCM(2395,2400) = 1149600

Factors of 2395

List of positive integer factors of 2395 that divides 2395 without a remainder.

1, 5, 479, 2395

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 2395 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 2395 and 2400, than apply into the LCM equation.

GCF(2395,2400) = 5
LCM(2395,2400) = ( 2395 × 2400) / 5
LCM(2395,2400) = 5748000 / 5
LCM(2395,2400) = 1149600

Properties of LCM 2395 and 2400

(i) The LCM of 2400 and 2395 is associative

LCM of 2395 and 2400 = LCM of 2400 and 2395

Related Least Common Multiples of 2395

Related Least Common Multiples of 2400

Frequently Asked Questions on LCM of 2395 and 2400

1. What is the LCM of 2395 and 2400?

Answer: LCM of 2395 and 2400 is 1149600.

2. What are the Factors of 2395?

Answer: Factors of 2395 are 1, 5, 479, 2395. There are 4 integers that are factors of 2395. The greatest factor of 2395 is 2395.

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 2395 and 2400?

Answer:

Least Common Multiple of 2395 and 2400 = 1149600

Step 1: Find the prime factorization of 2395

2395 = 5 x 479

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 = 1149600 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 479

Step 4: Therefore, the least common multiple of 2395 and 2400 is 1149600.