Least Common Multiple of 3859 and 3867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3859 and 3867 the smallest integer that is 14922753 that is divisible by both numbers.

Least Common Multiple (LCM) of 3859 and 3867 is 14922753.

LCM(3859,3867) = 14922753

LCM of 3859 and 3867

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

LCM of:
and

Least Common Multiple of 3859 and 3867

LCM of 3859 and 3867 is 14922753

Least common multiple can be found by multiplying the highest exponent prime factors of 3859 and 3867. First we will calculate the prime factors of 3859 and 3867.

Prime Factorization of 3859


17 3859
227 227
1

Prime factors of 3859 are 17,227. Prime factorization of 3859 in exponential form is:

3859 = 171×2271

Prime Factorization of 3867


3 3867
1289 1289
1

Prime factors of 3867 are 3,1289. Prime factorization of 3867 in exponential form is:

3867 = 31×12891

Now multiplying the highest exponent prime factors to calculate the LCM of 3859 and 3867.

LCM(3859,3867) = 31×171×2271×12891
LCM(3859,3867) = 14922753

Factors of 3859

List of positive integer factors of 3859 that divides 3859 without a remainder.

1, 17, 227, 3859

Factors of 3867

List of positive integer factors of 3867 that divides 3867 without a remainder.

1, 3, 1289, 3867

Least Common Multiple of 3859 and 3867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3859 and 3867, than apply into the LCM equation.

GCF(3859,3867) = 1
LCM(3859,3867) = ( 3859 × 3867) / 1
LCM(3859,3867) = 14922753 / 1
LCM(3859,3867) = 14922753

Properties of LCM 3859 and 3867

(i) The LCM of 3867 and 3859 is associative

LCM of 3859 and 3867 = LCM of 3867 and 3859

Related Least Common Multiples of 3859

Related Least Common Multiples of 3867

Frequently Asked Questions on LCM of 3859 and 3867

1. What is the LCM of 3859 and 3867?

Answer: LCM of 3859 and 3867 is 14922753.

2. What are the Factors of 3859?

Answer: Factors of 3859 are 1, 17, 227, 3859. There are 4 integers that are factors of 3859. The greatest factor of 3859 is 3859.

3. What are the Factors of 3867?

Answer: Factors of 3867 are 1, 3, 1289, 3867. There are 4 integers that are factors of 3867. The greatest factor of 3867 is 3867.

4. How to Find the LCM of 3859 and 3867?

Answer:

Least Common Multiple of 3859 and 3867 = 14922753

Step 1: Find the prime factorization of 3859

3859 = 17 x 227

Step 2: Find the prime factorization of 3867

3867 = 3 x 1289

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

LCM = 14922753 = 3 x 17 x 227 x 1289

Step 4: Therefore, the least common multiple of 3859 and 3867 is 14922753.