Least Common Multiple of 3876 and 3882

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 3882 the smallest integer that is 2507772 that is divisible by both numbers.

Least Common Multiple (LCM) of 3876 and 3882 is 2507772.

LCM(3876,3882) = 2507772

LCM of 3876 and 3882

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

LCM of:
and

Least Common Multiple of 3876 and 3882

LCM of 3876 and 3882 is 2507772

Least common multiple can be found by multiplying the highest exponent prime factors of 3876 and 3882. First we will calculate the prime factors of 3876 and 3882.

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 3882


2 3882
3 1941
647 647
1

Prime factors of 3882 are 2, 3,647. Prime factorization of 3882 in exponential form is:

3882 = 21×31×6471

Now multiplying the highest exponent prime factors to calculate the LCM of 3876 and 3882.

LCM(3876,3882) = 22×31×171×191×6471
LCM(3876,3882) = 2507772

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 3882

List of positive integer factors of 3882 that divides 3882 without a remainder.

1, 2, 3, 6, 647, 1294, 1941, 3882

Least Common Multiple of 3876 and 3882 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 3882, than apply into the LCM equation.

GCF(3876,3882) = 6
LCM(3876,3882) = ( 3876 × 3882) / 6
LCM(3876,3882) = 15046632 / 6
LCM(3876,3882) = 2507772

Properties of LCM 3876 and 3882

(i) The LCM of 3882 and 3876 is associative

LCM of 3876 and 3882 = LCM of 3882 and 3876

Related Least Common Multiples of 3876

Related Least Common Multiples of 3882

Frequently Asked Questions on LCM of 3876 and 3882

1. What is the LCM of 3876 and 3882?

Answer: LCM of 3876 and 3882 is 2507772.

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 3882?

Answer: Factors of 3882 are 1, 2, 3, 6, 647, 1294, 1941, 3882. There are 8 integers that are factors of 3882. The greatest factor of 3882 is 3882.

4. How to Find the LCM of 3876 and 3882?

Answer:

Least Common Multiple of 3876 and 3882 = 2507772

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 3882

3882 = 2 x 3 x 647

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

LCM = 2507772 = 2 x 2 x 3 x 17 x 19 x 647

Step 4: Therefore, the least common multiple of 3876 and 3882 is 2507772.