Least Common Multiple of 3849 and 3853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3849 and 3853 the smallest integer that is 14830197 that is divisible by both numbers.

Least Common Multiple (LCM) of 3849 and 3853 is 14830197.

LCM(3849,3853) = 14830197

LCM of 3849 and 3853

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

LCM of:
and

Least Common Multiple of 3849 and 3853

LCM of 3849 and 3853 is 14830197

Least common multiple can be found by multiplying the highest exponent prime factors of 3849 and 3853. First we will calculate the prime factors of 3849 and 3853.

Prime Factorization of 3849


3 3849
1283 1283
1

Prime factors of 3849 are 3,1283. Prime factorization of 3849 in exponential form is:

3849 = 31×12831

Prime Factorization of 3853


3853 3853
1

Prime factors of 3853 are 3853. Prime factorization of 3853 in exponential form is:

3853 = 38531

Now multiplying the highest exponent prime factors to calculate the LCM of 3849 and 3853.

LCM(3849,3853) = 31×12831×38531
LCM(3849,3853) = 14830197

Factors of 3849

List of positive integer factors of 3849 that divides 3849 without a remainder.

1, 3, 1283, 3849

Factors of 3853

List of positive integer factors of 3853 that divides 3853 without a remainder.

1, 3853

Least Common Multiple of 3849 and 3853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3849 and 3853, than apply into the LCM equation.

GCF(3849,3853) = 1
LCM(3849,3853) = ( 3849 × 3853) / 1
LCM(3849,3853) = 14830197 / 1
LCM(3849,3853) = 14830197

Properties of LCM 3849 and 3853

(i) The LCM of 3853 and 3849 is associative

LCM of 3849 and 3853 = LCM of 3853 and 3849

Related Least Common Multiples of 3849

Related Least Common Multiples of 3853

Frequently Asked Questions on LCM of 3849 and 3853

1. What is the LCM of 3849 and 3853?

Answer: LCM of 3849 and 3853 is 14830197.

2. What are the Factors of 3849?

Answer: Factors of 3849 are 1, 3, 1283, 3849. There are 4 integers that are factors of 3849. The greatest factor of 3849 is 3849.

3. What are the Factors of 3853?

Answer: Factors of 3853 are 1, 3853. There are 2 integers that are factors of 3853. The greatest factor of 3853 is 3853.

4. How to Find the LCM of 3849 and 3853?

Answer:

Least Common Multiple of 3849 and 3853 = 14830197

Step 1: Find the prime factorization of 3849

3849 = 3 x 1283

Step 2: Find the prime factorization of 3853

3853 = 3853

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

LCM = 14830197 = 3 x 1283 x 3853

Step 4: Therefore, the least common multiple of 3849 and 3853 is 14830197.