Least Common Multiple of 2381 and 2388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2381 and 2388 the smallest integer that is 5685828 that is divisible by both numbers.

Least Common Multiple (LCM) of 2381 and 2388 is 5685828.

LCM(2381,2388) = 5685828

LCM of 2381 and 2388

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

LCM of:
and

Least Common Multiple of 2381 and 2388

LCM of 2381 and 2388 is 5685828

Least common multiple can be found by multiplying the highest exponent prime factors of 2381 and 2388. First we will calculate the prime factors of 2381 and 2388.

Prime Factorization of 2381


2381 2381
1

Prime factors of 2381 are 2381. Prime factorization of 2381 in exponential form is:

2381 = 23811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2381 and 2388.

LCM(2381,2388) = 22×31×1991×23811
LCM(2381,2388) = 5685828

Factors of 2381

List of positive integer factors of 2381 that divides 2381 without a remainder.

1, 2381

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

Least Common Multiple of 2381 and 2388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2381 and 2388, than apply into the LCM equation.

GCF(2381,2388) = 1
LCM(2381,2388) = ( 2381 × 2388) / 1
LCM(2381,2388) = 5685828 / 1
LCM(2381,2388) = 5685828

Properties of LCM 2381 and 2388

(i) The LCM of 2388 and 2381 is associative

LCM of 2381 and 2388 = LCM of 2388 and 2381

Related Least Common Multiples of 2381

Related Least Common Multiples of 2388

Frequently Asked Questions on LCM of 2381 and 2388

1. What is the LCM of 2381 and 2388?

Answer: LCM of 2381 and 2388 is 5685828.

2. What are the Factors of 2381?

Answer: Factors of 2381 are 1, 2381. There are 2 integers that are factors of 2381. The greatest factor of 2381 is 2381.

3. 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.

4. How to Find the LCM of 2381 and 2388?

Answer:

Least Common Multiple of 2381 and 2388 = 5685828

Step 1: Find the prime factorization of 2381

2381 = 2381

Step 2: Find the prime factorization of 2388

2388 = 2 x 2 x 3 x 199

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

LCM = 5685828 = 2 x 2 x 3 x 199 x 2381

Step 4: Therefore, the least common multiple of 2381 and 2388 is 5685828.