Least Common Multiple of 2402 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 2402 and 2406 the smallest integer that is 2889606 that is divisible by both numbers.

Least Common Multiple (LCM) of 2402 and 2406 is 2889606.

LCM(2402,2406) = 2889606

LCM of 2402 and 2406

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

LCM of:
and

Least Common Multiple of 2402 and 2406

LCM of 2402 and 2406 is 2889606

Least common multiple can be found by multiplying the highest exponent prime factors of 2402 and 2406. First we will calculate the prime factors of 2402 and 2406.

Prime Factorization of 2402


2 2402
1201 1201
1

Prime factors of 2402 are 2,1201. Prime factorization of 2402 in exponential form is:

2402 = 21×12011

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 2402 and 2406.

LCM(2402,2406) = 21×31×4011×12011
LCM(2402,2406) = 2889606

Factors of 2402

List of positive integer factors of 2402 that divides 2402 without a remainder.

1, 2, 1201, 2402

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 2402 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 2402 and 2406, than apply into the LCM equation.

GCF(2402,2406) = 2
LCM(2402,2406) = ( 2402 × 2406) / 2
LCM(2402,2406) = 5779212 / 2
LCM(2402,2406) = 2889606

Properties of LCM 2402 and 2406

(i) The LCM of 2406 and 2402 is associative

LCM of 2402 and 2406 = LCM of 2406 and 2402

Related Least Common Multiples of 2402

Related Least Common Multiples of 2406

Frequently Asked Questions on LCM of 2402 and 2406

1. What is the LCM of 2402 and 2406?

Answer: LCM of 2402 and 2406 is 2889606.

2. What are the Factors of 2402?

Answer: Factors of 2402 are 1, 2, 1201, 2402. There are 4 integers that are factors of 2402. The greatest factor of 2402 is 2402.

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 2402 and 2406?

Answer:

Least Common Multiple of 2402 and 2406 = 2889606

Step 1: Find the prime factorization of 2402

2402 = 2 x 1201

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 = 2889606 = 2 x 3 x 401 x 1201

Step 4: Therefore, the least common multiple of 2402 and 2406 is 2889606.