Least Common Multiple of 3876 and 3883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3876 and 3883 the smallest integer that is 15050508 that is divisible by both numbers.

Least Common Multiple (LCM) of 3876 and 3883 is 15050508.

LCM(3876,3883) = 15050508

LCM of 3876 and 3883

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

LCM of:
and

Least Common Multiple of 3876 and 3883

LCM of 3876 and 3883 is 15050508

Least common multiple can be found by multiplying the highest exponent prime factors of 3876 and 3883. First we will calculate the prime factors of 3876 and 3883.

Prime Factorization of 3876


2 3876
2 1938
3 969
17 323
19 19
1

Prime factors of 3876 are 2, 3, 17,19. Prime factorization of 3876 in exponential form is:

3876 = 22×31×171×191

Prime Factorization of 3883


11 3883
353 353
1

Prime factors of 3883 are 11,353. Prime factorization of 3883 in exponential form is:

3883 = 111×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 3876 and 3883.

LCM(3876,3883) = 22×31×111×171×191×3531
LCM(3876,3883) = 15050508

Factors of 3876

List of positive integer factors of 3876 that divides 3876 without a remainder.

1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876

Factors of 3883

List of positive integer factors of 3883 that divides 3883 without a remainder.

1, 11, 353, 3883

Least Common Multiple of 3876 and 3883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3876 and 3883, than apply into the LCM equation.

GCF(3876,3883) = 1
LCM(3876,3883) = ( 3876 × 3883) / 1
LCM(3876,3883) = 15050508 / 1
LCM(3876,3883) = 15050508

Properties of LCM 3876 and 3883

(i) The LCM of 3883 and 3876 is associative

LCM of 3876 and 3883 = LCM of 3883 and 3876

Related Least Common Multiples of 3876

Related Least Common Multiples of 3883

Frequently Asked Questions on LCM of 3876 and 3883

1. What is the LCM of 3876 and 3883?

Answer: LCM of 3876 and 3883 is 15050508.

2. What are the Factors of 3876?

Answer: Factors of 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876. There are 24 integers that are factors of 3876. The greatest factor of 3876 is 3876.

3. What are the Factors of 3883?

Answer: Factors of 3883 are 1, 11, 353, 3883. There are 4 integers that are factors of 3883. The greatest factor of 3883 is 3883.

4. How to Find the LCM of 3876 and 3883?

Answer:

Least Common Multiple of 3876 and 3883 = 15050508

Step 1: Find the prime factorization of 3876

3876 = 2 x 2 x 3 x 17 x 19

Step 2: Find the prime factorization of 3883

3883 = 11 x 353

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

LCM = 15050508 = 2 x 2 x 3 x 11 x 17 x 19 x 353

Step 4: Therefore, the least common multiple of 3876 and 3883 is 15050508.