Least Common Multiple of 2400 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 2400 and 2403 the smallest integer that is 1922400 that is divisible by both numbers.

Least Common Multiple (LCM) of 2400 and 2403 is 1922400.

LCM(2400,2403) = 1922400

LCM of 2400 and 2403

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

LCM of:
and

Least Common Multiple of 2400 and 2403

LCM of 2400 and 2403 is 1922400

Least common multiple can be found by multiplying the highest exponent prime factors of 2400 and 2403. First we will calculate the prime factors of 2400 and 2403.

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

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 2400 and 2403.

LCM(2400,2403) = 25×33×52×891
LCM(2400,2403) = 1922400

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

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 2400 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 2400 and 2403, than apply into the LCM equation.

GCF(2400,2403) = 3
LCM(2400,2403) = ( 2400 × 2403) / 3
LCM(2400,2403) = 5767200 / 3
LCM(2400,2403) = 1922400

Properties of LCM 2400 and 2403

(i) The LCM of 2403 and 2400 is associative

LCM of 2400 and 2403 = LCM of 2403 and 2400

Related Least Common Multiples of 2400

Related Least Common Multiples of 2403

Frequently Asked Questions on LCM of 2400 and 2403

1. What is the LCM of 2400 and 2403?

Answer: LCM of 2400 and 2403 is 1922400.

2. 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.

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 2400 and 2403?

Answer:

Least Common Multiple of 2400 and 2403 = 1922400

Step 1: Find the prime factorization of 2400

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

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 = 1922400 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 89

Step 4: Therefore, the least common multiple of 2400 and 2403 is 1922400.