Least Common Multiple of 3862 and 3869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3862 and 3869 the smallest integer that is 14942078 that is divisible by both numbers.

Least Common Multiple (LCM) of 3862 and 3869 is 14942078.

LCM(3862,3869) = 14942078

LCM of 3862 and 3869

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

LCM of:
and

Least Common Multiple of 3862 and 3869

LCM of 3862 and 3869 is 14942078

Least common multiple can be found by multiplying the highest exponent prime factors of 3862 and 3869. First we will calculate the prime factors of 3862 and 3869.

Prime Factorization of 3862


2 3862
1931 1931
1

Prime factors of 3862 are 2,1931. Prime factorization of 3862 in exponential form is:

3862 = 21×19311

Prime Factorization of 3869


53 3869
73 73
1

Prime factors of 3869 are 53,73. Prime factorization of 3869 in exponential form is:

3869 = 531×731

Now multiplying the highest exponent prime factors to calculate the LCM of 3862 and 3869.

LCM(3862,3869) = 21×531×731×19311
LCM(3862,3869) = 14942078

Factors of 3862

List of positive integer factors of 3862 that divides 3862 without a remainder.

1, 2, 1931, 3862

Factors of 3869

List of positive integer factors of 3869 that divides 3869 without a remainder.

1, 53, 73, 3869

Least Common Multiple of 3862 and 3869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3862 and 3869, than apply into the LCM equation.

GCF(3862,3869) = 1
LCM(3862,3869) = ( 3862 × 3869) / 1
LCM(3862,3869) = 14942078 / 1
LCM(3862,3869) = 14942078

Properties of LCM 3862 and 3869

(i) The LCM of 3869 and 3862 is associative

LCM of 3862 and 3869 = LCM of 3869 and 3862

Related Least Common Multiples of 3862

Related Least Common Multiples of 3869

Frequently Asked Questions on LCM of 3862 and 3869

1. What is the LCM of 3862 and 3869?

Answer: LCM of 3862 and 3869 is 14942078.

2. What are the Factors of 3862?

Answer: Factors of 3862 are 1, 2, 1931, 3862. There are 4 integers that are factors of 3862. The greatest factor of 3862 is 3862.

3. What are the Factors of 3869?

Answer: Factors of 3869 are 1, 53, 73, 3869. There are 4 integers that are factors of 3869. The greatest factor of 3869 is 3869.

4. How to Find the LCM of 3862 and 3869?

Answer:

Least Common Multiple of 3862 and 3869 = 14942078

Step 1: Find the prime factorization of 3862

3862 = 2 x 1931

Step 2: Find the prime factorization of 3869

3869 = 53 x 73

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

LCM = 14942078 = 2 x 53 x 73 x 1931

Step 4: Therefore, the least common multiple of 3862 and 3869 is 14942078.