Least Common Multiple of 3849 and 3854

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 3854 the smallest integer that is 14834046 that is divisible by both numbers.

Least Common Multiple (LCM) of 3849 and 3854 is 14834046.

LCM(3849,3854) = 14834046

LCM of 3849 and 3854

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

LCM of:
and

Least Common Multiple of 3849 and 3854

LCM of 3849 and 3854 is 14834046

Least common multiple can be found by multiplying the highest exponent prime factors of 3849 and 3854. First we will calculate the prime factors of 3849 and 3854.

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 3854


2 3854
41 1927
47 47
1

Prime factors of 3854 are 2, 41,47. Prime factorization of 3854 in exponential form is:

3854 = 21×411×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3849 and 3854.

LCM(3849,3854) = 21×31×411×471×12831
LCM(3849,3854) = 14834046

Factors of 3849

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

1, 3, 1283, 3849

Factors of 3854

List of positive integer factors of 3854 that divides 3854 without a remainder.

1, 2, 41, 47, 82, 94, 1927, 3854

Least Common Multiple of 3849 and 3854 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 3854, than apply into the LCM equation.

GCF(3849,3854) = 1
LCM(3849,3854) = ( 3849 × 3854) / 1
LCM(3849,3854) = 14834046 / 1
LCM(3849,3854) = 14834046

Properties of LCM 3849 and 3854

(i) The LCM of 3854 and 3849 is associative

LCM of 3849 and 3854 = LCM of 3854 and 3849

Related Least Common Multiples of 3849

Related Least Common Multiples of 3854

Frequently Asked Questions on LCM of 3849 and 3854

1. What is the LCM of 3849 and 3854?

Answer: LCM of 3849 and 3854 is 14834046.

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 3854?

Answer: Factors of 3854 are 1, 2, 41, 47, 82, 94, 1927, 3854. There are 8 integers that are factors of 3854. The greatest factor of 3854 is 3854.

4. How to Find the LCM of 3849 and 3854?

Answer:

Least Common Multiple of 3849 and 3854 = 14834046

Step 1: Find the prime factorization of 3849

3849 = 3 x 1283

Step 2: Find the prime factorization of 3854

3854 = 2 x 41 x 47

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

LCM = 14834046 = 2 x 3 x 41 x 47 x 1283

Step 4: Therefore, the least common multiple of 3849 and 3854 is 14834046.