Least Common Multiple of 3868 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 3868 and 3876 the smallest integer that is 3748092 that is divisible by both numbers.

Least Common Multiple (LCM) of 3868 and 3876 is 3748092.

LCM(3868,3876) = 3748092

LCM of 3868 and 3876

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

LCM of:
and

Least Common Multiple of 3868 and 3876

LCM of 3868 and 3876 is 3748092

Least common multiple can be found by multiplying the highest exponent prime factors of 3868 and 3876. First we will calculate the prime factors of 3868 and 3876.

Prime Factorization of 3868


2 3868
2 1934
967 967
1

Prime factors of 3868 are 2,967. Prime factorization of 3868 in exponential form is:

3868 = 22×9671

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 3868 and 3876.

LCM(3868,3876) = 22×31×171×191×9671
LCM(3868,3876) = 3748092

Factors of 3868

List of positive integer factors of 3868 that divides 3868 without a remainder.

1, 2, 4, 967, 1934, 3868

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 3868 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 3868 and 3876, than apply into the LCM equation.

GCF(3868,3876) = 4
LCM(3868,3876) = ( 3868 × 3876) / 4
LCM(3868,3876) = 14992368 / 4
LCM(3868,3876) = 3748092

Properties of LCM 3868 and 3876

(i) The LCM of 3876 and 3868 is associative

LCM of 3868 and 3876 = LCM of 3876 and 3868

Related Least Common Multiples of 3868

Related Least Common Multiples of 3876

Frequently Asked Questions on LCM of 3868 and 3876

1. What is the LCM of 3868 and 3876?

Answer: LCM of 3868 and 3876 is 3748092.

2. What are the Factors of 3868?

Answer: Factors of 3868 are 1, 2, 4, 967, 1934, 3868. There are 6 integers that are factors of 3868. The greatest factor of 3868 is 3868.

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 3868 and 3876?

Answer:

Least Common Multiple of 3868 and 3876 = 3748092

Step 1: Find the prime factorization of 3868

3868 = 2 x 2 x 967

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 = 3748092 = 2 x 2 x 3 x 17 x 19 x 967

Step 4: Therefore, the least common multiple of 3868 and 3876 is 3748092.