Least Common Multiple of 3860 and 3861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3860 and 3861 the smallest integer that is 14903460 that is divisible by both numbers.

Least Common Multiple (LCM) of 3860 and 3861 is 14903460.

LCM(3860,3861) = 14903460

LCM of 3860 and 3861

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

LCM of:
and

Least Common Multiple of 3860 and 3861

LCM of 3860 and 3861 is 14903460

Least common multiple can be found by multiplying the highest exponent prime factors of 3860 and 3861. First we will calculate the prime factors of 3860 and 3861.

Prime Factorization of 3860


2 3860
2 1930
5 965
193 193
1

Prime factors of 3860 are 2, 5,193. Prime factorization of 3860 in exponential form is:

3860 = 22×51×1931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3860 and 3861.

LCM(3860,3861) = 22×33×51×111×131×1931
LCM(3860,3861) = 14903460

Factors of 3860

List of positive integer factors of 3860 that divides 3860 without a remainder.

1, 2, 4, 5, 10, 20, 193, 386, 772, 965, 1930, 3860

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

Least Common Multiple of 3860 and 3861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3860 and 3861, than apply into the LCM equation.

GCF(3860,3861) = 1
LCM(3860,3861) = ( 3860 × 3861) / 1
LCM(3860,3861) = 14903460 / 1
LCM(3860,3861) = 14903460

Properties of LCM 3860 and 3861

(i) The LCM of 3861 and 3860 is associative

LCM of 3860 and 3861 = LCM of 3861 and 3860

Related Least Common Multiples of 3860

Related Least Common Multiples of 3861

Frequently Asked Questions on LCM of 3860 and 3861

1. What is the LCM of 3860 and 3861?

Answer: LCM of 3860 and 3861 is 14903460.

2. What are the Factors of 3860?

Answer: Factors of 3860 are 1, 2, 4, 5, 10, 20, 193, 386, 772, 965, 1930, 3860. There are 12 integers that are factors of 3860. The greatest factor of 3860 is 3860.

3. 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.

4. How to Find the LCM of 3860 and 3861?

Answer:

Least Common Multiple of 3860 and 3861 = 14903460

Step 1: Find the prime factorization of 3860

3860 = 2 x 2 x 5 x 193

Step 2: Find the prime factorization of 3861

3861 = 3 x 3 x 3 x 11 x 13

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

LCM = 14903460 = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 13 x 193

Step 4: Therefore, the least common multiple of 3860 and 3861 is 14903460.