Least Common Multiple of 3861 and 3868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3861 and 3868 the smallest integer that is 14934348 that is divisible by both numbers.

Least Common Multiple (LCM) of 3861 and 3868 is 14934348.

LCM(3861,3868) = 14934348

LCM of 3861 and 3868

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

LCM of:
and

Least Common Multiple of 3861 and 3868

LCM of 3861 and 3868 is 14934348

Least common multiple can be found by multiplying the highest exponent prime factors of 3861 and 3868. First we will calculate the prime factors of 3861 and 3868.

Prime Factorization of 3861


3 3861
3 1287
3 429
11 143
13 13
1

Prime factors of 3861 are 3, 11,13. Prime factorization of 3861 in exponential form is:

3861 = 33×111×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3861 and 3868.

LCM(3861,3868) = 22×33×111×131×9671
LCM(3861,3868) = 14934348

Factors of 3861

List of positive integer factors of 3861 that divides 3861 without a remainder.

1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 143, 297, 351, 429, 1287, 3861

Factors of 3868

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

1, 2, 4, 967, 1934, 3868

Least Common Multiple of 3861 and 3868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3861 and 3868, than apply into the LCM equation.

GCF(3861,3868) = 1
LCM(3861,3868) = ( 3861 × 3868) / 1
LCM(3861,3868) = 14934348 / 1
LCM(3861,3868) = 14934348

Properties of LCM 3861 and 3868

(i) The LCM of 3868 and 3861 is associative

LCM of 3861 and 3868 = LCM of 3868 and 3861

Related Least Common Multiples of 3861

Related Least Common Multiples of 3868

Frequently Asked Questions on LCM of 3861 and 3868

1. What is the LCM of 3861 and 3868?

Answer: LCM of 3861 and 3868 is 14934348.

2. What are the Factors of 3861?

Answer: Factors of 3861 are 1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 143, 297, 351, 429, 1287, 3861. There are 16 integers that are factors of 3861. The greatest factor of 3861 is 3861.

3. 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.

4. How to Find the LCM of 3861 and 3868?

Answer:

Least Common Multiple of 3861 and 3868 = 14934348

Step 1: Find the prime factorization of 3861

3861 = 3 x 3 x 3 x 11 x 13

Step 2: Find the prime factorization of 3868

3868 = 2 x 2 x 967

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

LCM = 14934348 = 2 x 2 x 3 x 3 x 3 x 11 x 13 x 967

Step 4: Therefore, the least common multiple of 3861 and 3868 is 14934348.