Least Common Multiple of 2374 and 2382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2374 and 2382 the smallest integer that is 2827434 that is divisible by both numbers.

Least Common Multiple (LCM) of 2374 and 2382 is 2827434.

LCM(2374,2382) = 2827434

LCM of 2374 and 2382

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

LCM of:
and

Least Common Multiple of 2374 and 2382

LCM of 2374 and 2382 is 2827434

Least common multiple can be found by multiplying the highest exponent prime factors of 2374 and 2382. First we will calculate the prime factors of 2374 and 2382.

Prime Factorization of 2374


2 2374
1187 1187
1

Prime factors of 2374 are 2,1187. Prime factorization of 2374 in exponential form is:

2374 = 21×11871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2374 and 2382.

LCM(2374,2382) = 21×31×3971×11871
LCM(2374,2382) = 2827434

Factors of 2374

List of positive integer factors of 2374 that divides 2374 without a remainder.

1, 2, 1187, 2374

Factors of 2382

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

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

Least Common Multiple of 2374 and 2382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2374 and 2382, than apply into the LCM equation.

GCF(2374,2382) = 2
LCM(2374,2382) = ( 2374 × 2382) / 2
LCM(2374,2382) = 5654868 / 2
LCM(2374,2382) = 2827434

Properties of LCM 2374 and 2382

(i) The LCM of 2382 and 2374 is associative

LCM of 2374 and 2382 = LCM of 2382 and 2374

Related Least Common Multiples of 2374

Related Least Common Multiples of 2382

Frequently Asked Questions on LCM of 2374 and 2382

1. What is the LCM of 2374 and 2382?

Answer: LCM of 2374 and 2382 is 2827434.

2. What are the Factors of 2374?

Answer: Factors of 2374 are 1, 2, 1187, 2374. There are 4 integers that are factors of 2374. The greatest factor of 2374 is 2374.

3. 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.

4. How to Find the LCM of 2374 and 2382?

Answer:

Least Common Multiple of 2374 and 2382 = 2827434

Step 1: Find the prime factorization of 2374

2374 = 2 x 1187

Step 2: Find the prime factorization of 2382

2382 = 2 x 3 x 397

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

LCM = 2827434 = 2 x 3 x 397 x 1187

Step 4: Therefore, the least common multiple of 2374 and 2382 is 2827434.