Least Common Multiple of 2400 and 2406

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 2406 the smallest integer that is 962400 that is divisible by both numbers.

Least Common Multiple (LCM) of 2400 and 2406 is 962400.

LCM(2400,2406) = 962400

LCM of 2400 and 2406

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

LCM of:
and

Least Common Multiple of 2400 and 2406

LCM of 2400 and 2406 is 962400

Least common multiple can be found by multiplying the highest exponent prime factors of 2400 and 2406. First we will calculate the prime factors of 2400 and 2406.

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 2406


2 2406
3 1203
401 401
1

Prime factors of 2406 are 2, 3,401. Prime factorization of 2406 in exponential form is:

2406 = 21×31×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 2400 and 2406.

LCM(2400,2406) = 25×31×52×4011
LCM(2400,2406) = 962400

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 2406

List of positive integer factors of 2406 that divides 2406 without a remainder.

1, 2, 3, 6, 401, 802, 1203, 2406

Least Common Multiple of 2400 and 2406 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 2406, than apply into the LCM equation.

GCF(2400,2406) = 6
LCM(2400,2406) = ( 2400 × 2406) / 6
LCM(2400,2406) = 5774400 / 6
LCM(2400,2406) = 962400

Properties of LCM 2400 and 2406

(i) The LCM of 2406 and 2400 is associative

LCM of 2400 and 2406 = LCM of 2406 and 2400

Related Least Common Multiples of 2400

Related Least Common Multiples of 2406

Frequently Asked Questions on LCM of 2400 and 2406

1. What is the LCM of 2400 and 2406?

Answer: LCM of 2400 and 2406 is 962400.

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 2406?

Answer: Factors of 2406 are 1, 2, 3, 6, 401, 802, 1203, 2406. There are 8 integers that are factors of 2406. The greatest factor of 2406 is 2406.

4. How to Find the LCM of 2400 and 2406?

Answer:

Least Common Multiple of 2400 and 2406 = 962400

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 2406

2406 = 2 x 3 x 401

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

LCM = 962400 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 401

Step 4: Therefore, the least common multiple of 2400 and 2406 is 962400.