Least Common Multiple of 2382 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 2382 and 2388 the smallest integer that is 948036 that is divisible by both numbers.

Least Common Multiple (LCM) of 2382 and 2388 is 948036.

LCM(2382,2388) = 948036

LCM of 2382 and 2388

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

LCM of:
and

Least Common Multiple of 2382 and 2388

LCM of 2382 and 2388 is 948036

Least common multiple can be found by multiplying the highest exponent prime factors of 2382 and 2388. First we will calculate the prime factors of 2382 and 2388.

Prime Factorization of 2382


2 2382
3 1191
397 397
1

Prime factors of 2382 are 2, 3,397. Prime factorization of 2382 in exponential form is:

2382 = 21×31×3971

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 2382 and 2388.

LCM(2382,2388) = 22×31×1991×3971
LCM(2382,2388) = 948036

Factors of 2382

List of positive integer factors of 2382 that divides 2382 without a remainder.

1, 2, 3, 6, 397, 794, 1191, 2382

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 2382 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 2382 and 2388, than apply into the LCM equation.

GCF(2382,2388) = 6
LCM(2382,2388) = ( 2382 × 2388) / 6
LCM(2382,2388) = 5688216 / 6
LCM(2382,2388) = 948036

Properties of LCM 2382 and 2388

(i) The LCM of 2388 and 2382 is associative

LCM of 2382 and 2388 = LCM of 2388 and 2382

Related Least Common Multiples of 2382

Related Least Common Multiples of 2388

Frequently Asked Questions on LCM of 2382 and 2388

1. What is the LCM of 2382 and 2388?

Answer: LCM of 2382 and 2388 is 948036.

2. What are the Factors of 2382?

Answer: Factors of 2382 are 1, 2, 3, 6, 397, 794, 1191, 2382. There are 8 integers that are factors of 2382. The greatest factor of 2382 is 2382.

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 2382 and 2388?

Answer:

Least Common Multiple of 2382 and 2388 = 948036

Step 1: Find the prime factorization of 2382

2382 = 2 x 3 x 397

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 = 948036 = 2 x 2 x 3 x 199 x 397

Step 4: Therefore, the least common multiple of 2382 and 2388 is 948036.