Least Common Multiple of 2382 and 2390

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 2390 the smallest integer that is 2846490 that is divisible by both numbers.

Least Common Multiple (LCM) of 2382 and 2390 is 2846490.

LCM(2382,2390) = 2846490

LCM of 2382 and 2390

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

LCM of:
and

Least Common Multiple of 2382 and 2390

LCM of 2382 and 2390 is 2846490

Least common multiple can be found by multiplying the highest exponent prime factors of 2382 and 2390. First we will calculate the prime factors of 2382 and 2390.

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 2390


2 2390
5 1195
239 239
1

Prime factors of 2390 are 2, 5,239. Prime factorization of 2390 in exponential form is:

2390 = 21×51×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 2382 and 2390.

LCM(2382,2390) = 21×31×51×2391×3971
LCM(2382,2390) = 2846490

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 2390

List of positive integer factors of 2390 that divides 2390 without a remainder.

1, 2, 5, 10, 239, 478, 1195, 2390

Least Common Multiple of 2382 and 2390 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 2390, than apply into the LCM equation.

GCF(2382,2390) = 2
LCM(2382,2390) = ( 2382 × 2390) / 2
LCM(2382,2390) = 5692980 / 2
LCM(2382,2390) = 2846490

Properties of LCM 2382 and 2390

(i) The LCM of 2390 and 2382 is associative

LCM of 2382 and 2390 = LCM of 2390 and 2382

Related Least Common Multiples of 2382

Related Least Common Multiples of 2390

Frequently Asked Questions on LCM of 2382 and 2390

1. What is the LCM of 2382 and 2390?

Answer: LCM of 2382 and 2390 is 2846490.

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 2390?

Answer: Factors of 2390 are 1, 2, 5, 10, 239, 478, 1195, 2390. There are 8 integers that are factors of 2390. The greatest factor of 2390 is 2390.

4. How to Find the LCM of 2382 and 2390?

Answer:

Least Common Multiple of 2382 and 2390 = 2846490

Step 1: Find the prime factorization of 2382

2382 = 2 x 3 x 397

Step 2: Find the prime factorization of 2390

2390 = 2 x 5 x 239

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

LCM = 2846490 = 2 x 3 x 5 x 239 x 397

Step 4: Therefore, the least common multiple of 2382 and 2390 is 2846490.