Least Common Multiple of 3853 and 3857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3853 and 3857 the smallest integer that is 14861021 that is divisible by both numbers.

Least Common Multiple (LCM) of 3853 and 3857 is 14861021.

LCM(3853,3857) = 14861021

LCM of 3853 and 3857

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

LCM of:
and

Least Common Multiple of 3853 and 3857

LCM of 3853 and 3857 is 14861021

Least common multiple can be found by multiplying the highest exponent prime factors of 3853 and 3857. First we will calculate the prime factors of 3853 and 3857.

Prime Factorization of 3853


3853 3853
1

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

3853 = 38531

Prime Factorization of 3857


7 3857
19 551
29 29
1

Prime factors of 3857 are 7, 19,29. Prime factorization of 3857 in exponential form is:

3857 = 71×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3853 and 3857.

LCM(3853,3857) = 71×191×291×38531
LCM(3853,3857) = 14861021

Factors of 3853

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

1, 3853

Factors of 3857

List of positive integer factors of 3857 that divides 3857 without a remainder.

1, 7, 19, 29, 133, 203, 551, 3857

Least Common Multiple of 3853 and 3857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3853 and 3857, than apply into the LCM equation.

GCF(3853,3857) = 1
LCM(3853,3857) = ( 3853 × 3857) / 1
LCM(3853,3857) = 14861021 / 1
LCM(3853,3857) = 14861021

Properties of LCM 3853 and 3857

(i) The LCM of 3857 and 3853 is associative

LCM of 3853 and 3857 = LCM of 3857 and 3853

Related Least Common Multiples of 3853

Related Least Common Multiples of 3857

Frequently Asked Questions on LCM of 3853 and 3857

1. What is the LCM of 3853 and 3857?

Answer: LCM of 3853 and 3857 is 14861021.

2. 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.

3. What are the Factors of 3857?

Answer: Factors of 3857 are 1, 7, 19, 29, 133, 203, 551, 3857. There are 8 integers that are factors of 3857. The greatest factor of 3857 is 3857.

4. How to Find the LCM of 3853 and 3857?

Answer:

Least Common Multiple of 3853 and 3857 = 14861021

Step 1: Find the prime factorization of 3853

3853 = 3853

Step 2: Find the prime factorization of 3857

3857 = 7 x 19 x 29

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

LCM = 14861021 = 7 x 19 x 29 x 3853

Step 4: Therefore, the least common multiple of 3853 and 3857 is 14861021.