Least Common Multiple of 3870 and 3876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3870 and 3876 the smallest integer that is 2500020 that is divisible by both numbers.

Least Common Multiple (LCM) of 3870 and 3876 is 2500020.

LCM(3870,3876) = 2500020

LCM of 3870 and 3876

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

LCM of:
and

Least Common Multiple of 3870 and 3876

LCM of 3870 and 3876 is 2500020

Least common multiple can be found by multiplying the highest exponent prime factors of 3870 and 3876. First we will calculate the prime factors of 3870 and 3876.

Prime Factorization of 3870


2 3870
3 1935
3 645
5 215
43 43
1

Prime factors of 3870 are 2, 3, 5,43. Prime factorization of 3870 in exponential form is:

3870 = 21×32×51×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3870 and 3876.

LCM(3870,3876) = 22×32×51×171×191×431
LCM(3870,3876) = 2500020

Factors of 3870

List of positive integer factors of 3870 that divides 3870 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870

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

Least Common Multiple of 3870 and 3876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3870 and 3876, than apply into the LCM equation.

GCF(3870,3876) = 6
LCM(3870,3876) = ( 3870 × 3876) / 6
LCM(3870,3876) = 15000120 / 6
LCM(3870,3876) = 2500020

Properties of LCM 3870 and 3876

(i) The LCM of 3876 and 3870 is associative

LCM of 3870 and 3876 = LCM of 3876 and 3870

Related Least Common Multiples of 3870

Related Least Common Multiples of 3876

Frequently Asked Questions on LCM of 3870 and 3876

1. What is the LCM of 3870 and 3876?

Answer: LCM of 3870 and 3876 is 2500020.

2. What are the Factors of 3870?

Answer: Factors of 3870 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870. There are 24 integers that are factors of 3870. The greatest factor of 3870 is 3870.

3. 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.

4. How to Find the LCM of 3870 and 3876?

Answer:

Least Common Multiple of 3870 and 3876 = 2500020

Step 1: Find the prime factorization of 3870

3870 = 2 x 3 x 3 x 5 x 43

Step 2: Find the prime factorization of 3876

3876 = 2 x 2 x 3 x 17 x 19

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

LCM = 2500020 = 2 x 2 x 3 x 3 x 5 x 17 x 19 x 43

Step 4: Therefore, the least common multiple of 3870 and 3876 is 2500020.