Least Common Multiple of 2388 and 2394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2388 and 2394 the smallest integer that is 952812 that is divisible by both numbers.

Least Common Multiple (LCM) of 2388 and 2394 is 952812.

LCM(2388,2394) = 952812

LCM of 2388 and 2394

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

LCM of:
and

Least Common Multiple of 2388 and 2394

LCM of 2388 and 2394 is 952812

Least common multiple can be found by multiplying the highest exponent prime factors of 2388 and 2394. First we will calculate the prime factors of 2388 and 2394.

Prime Factorization of 2388


2 2388
2 1194
3 597
199 199
1

Prime factors of 2388 are 2, 3,199. Prime factorization of 2388 in exponential form is:

2388 = 22×31×1991

Prime Factorization of 2394


2 2394
3 1197
3 399
7 133
19 19
1

Prime factors of 2394 are 2, 3, 7,19. Prime factorization of 2394 in exponential form is:

2394 = 21×32×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2388 and 2394.

LCM(2388,2394) = 22×32×71×191×1991
LCM(2388,2394) = 952812

Factors of 2388

List of positive integer factors of 2388 that divides 2388 without a remainder.

1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388

Factors of 2394

List of positive integer factors of 2394 that divides 2394 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197, 2394

Least Common Multiple of 2388 and 2394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2388 and 2394, than apply into the LCM equation.

GCF(2388,2394) = 6
LCM(2388,2394) = ( 2388 × 2394) / 6
LCM(2388,2394) = 5716872 / 6
LCM(2388,2394) = 952812

Properties of LCM 2388 and 2394

(i) The LCM of 2394 and 2388 is associative

LCM of 2388 and 2394 = LCM of 2394 and 2388

Related Least Common Multiples of 2388

Related Least Common Multiples of 2394

Frequently Asked Questions on LCM of 2388 and 2394

1. What is the LCM of 2388 and 2394?

Answer: LCM of 2388 and 2394 is 952812.

2. What are the Factors of 2388?

Answer: Factors of 2388 are 1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388. There are 12 integers that are factors of 2388. The greatest factor of 2388 is 2388.

3. What are the Factors of 2394?

Answer: Factors of 2394 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197, 2394. There are 24 integers that are factors of 2394. The greatest factor of 2394 is 2394.

4. How to Find the LCM of 2388 and 2394?

Answer:

Least Common Multiple of 2388 and 2394 = 952812

Step 1: Find the prime factorization of 2388

2388 = 2 x 2 x 3 x 199

Step 2: Find the prime factorization of 2394

2394 = 2 x 3 x 3 x 7 x 19

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

LCM = 952812 = 2 x 2 x 3 x 3 x 7 x 19 x 199

Step 4: Therefore, the least common multiple of 2388 and 2394 is 952812.