Least Common Multiple of 3871 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 3871 and 3876 the smallest integer that is 15003996 that is divisible by both numbers.

Least Common Multiple (LCM) of 3871 and 3876 is 15003996.

LCM(3871,3876) = 15003996

LCM of 3871 and 3876

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

LCM of:
and

Least Common Multiple of 3871 and 3876

LCM of 3871 and 3876 is 15003996

Least common multiple can be found by multiplying the highest exponent prime factors of 3871 and 3876. First we will calculate the prime factors of 3871 and 3876.

Prime Factorization of 3871


7 3871
7 553
79 79
1

Prime factors of 3871 are 7,79. Prime factorization of 3871 in exponential form is:

3871 = 72×791

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 3871 and 3876.

LCM(3871,3876) = 22×31×72×171×191×791
LCM(3871,3876) = 15003996

Factors of 3871

List of positive integer factors of 3871 that divides 3871 without a remainder.

1, 7, 49, 79, 553, 3871

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 3871 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 3871 and 3876, than apply into the LCM equation.

GCF(3871,3876) = 1
LCM(3871,3876) = ( 3871 × 3876) / 1
LCM(3871,3876) = 15003996 / 1
LCM(3871,3876) = 15003996

Properties of LCM 3871 and 3876

(i) The LCM of 3876 and 3871 is associative

LCM of 3871 and 3876 = LCM of 3876 and 3871

Related Least Common Multiples of 3871

Related Least Common Multiples of 3876

Frequently Asked Questions on LCM of 3871 and 3876

1. What is the LCM of 3871 and 3876?

Answer: LCM of 3871 and 3876 is 15003996.

2. What are the Factors of 3871?

Answer: Factors of 3871 are 1, 7, 49, 79, 553, 3871. There are 6 integers that are factors of 3871. The greatest factor of 3871 is 3871.

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 3871 and 3876?

Answer:

Least Common Multiple of 3871 and 3876 = 15003996

Step 1: Find the prime factorization of 3871

3871 = 7 x 7 x 79

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 = 15003996 = 2 x 2 x 3 x 7 x 7 x 17 x 19 x 79

Step 4: Therefore, the least common multiple of 3871 and 3876 is 15003996.