Least Common Multiple of 2398 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 2398 and 2406 the smallest integer that is 2884794 that is divisible by both numbers.

Least Common Multiple (LCM) of 2398 and 2406 is 2884794.

LCM(2398,2406) = 2884794

LCM of 2398 and 2406

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

LCM of:
and

Least Common Multiple of 2398 and 2406

LCM of 2398 and 2406 is 2884794

Least common multiple can be found by multiplying the highest exponent prime factors of 2398 and 2406. First we will calculate the prime factors of 2398 and 2406.

Prime Factorization of 2398


2 2398
11 1199
109 109
1

Prime factors of 2398 are 2, 11,109. Prime factorization of 2398 in exponential form is:

2398 = 21×111×1091

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 2398 and 2406.

LCM(2398,2406) = 21×31×111×1091×4011
LCM(2398,2406) = 2884794

Factors of 2398

List of positive integer factors of 2398 that divides 2398 without a remainder.

1, 2, 11, 22, 109, 218, 1199, 2398

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 2398 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 2398 and 2406, than apply into the LCM equation.

GCF(2398,2406) = 2
LCM(2398,2406) = ( 2398 × 2406) / 2
LCM(2398,2406) = 5769588 / 2
LCM(2398,2406) = 2884794

Properties of LCM 2398 and 2406

(i) The LCM of 2406 and 2398 is associative

LCM of 2398 and 2406 = LCM of 2406 and 2398

Related Least Common Multiples of 2398

Related Least Common Multiples of 2406

Frequently Asked Questions on LCM of 2398 and 2406

1. What is the LCM of 2398 and 2406?

Answer: LCM of 2398 and 2406 is 2884794.

2. What are the Factors of 2398?

Answer: Factors of 2398 are 1, 2, 11, 22, 109, 218, 1199, 2398. There are 8 integers that are factors of 2398. The greatest factor of 2398 is 2398.

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 2398 and 2406?

Answer:

Least Common Multiple of 2398 and 2406 = 2884794

Step 1: Find the prime factorization of 2398

2398 = 2 x 11 x 109

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 = 2884794 = 2 x 3 x 11 x 109 x 401

Step 4: Therefore, the least common multiple of 2398 and 2406 is 2884794.