Least Common Multiple of 3857 and 3864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3857 and 3864 the smallest integer that is 2129064 that is divisible by both numbers.

Least Common Multiple (LCM) of 3857 and 3864 is 2129064.

LCM(3857,3864) = 2129064

LCM of 3857 and 3864

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

LCM of:
and

Least Common Multiple of 3857 and 3864

LCM of 3857 and 3864 is 2129064

Least common multiple can be found by multiplying the highest exponent prime factors of 3857 and 3864. First we will calculate the prime factors of 3857 and 3864.

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

Prime Factorization of 3864


2 3864
2 1932
2 966
3 483
7 161
23 23
1

Prime factors of 3864 are 2, 3, 7,23. Prime factorization of 3864 in exponential form is:

3864 = 23×31×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3857 and 3864.

LCM(3857,3864) = 23×31×71×191×231×291
LCM(3857,3864) = 2129064

Factors of 3857

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

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

Factors of 3864

List of positive integer factors of 3864 that divides 3864 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932, 3864

Least Common Multiple of 3857 and 3864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3857 and 3864, than apply into the LCM equation.

GCF(3857,3864) = 7
LCM(3857,3864) = ( 3857 × 3864) / 7
LCM(3857,3864) = 14903448 / 7
LCM(3857,3864) = 2129064

Properties of LCM 3857 and 3864

(i) The LCM of 3864 and 3857 is associative

LCM of 3857 and 3864 = LCM of 3864 and 3857

Related Least Common Multiples of 3857

Related Least Common Multiples of 3864

Frequently Asked Questions on LCM of 3857 and 3864

1. What is the LCM of 3857 and 3864?

Answer: LCM of 3857 and 3864 is 2129064.

2. 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.

3. What are the Factors of 3864?

Answer: Factors of 3864 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932, 3864. There are 32 integers that are factors of 3864. The greatest factor of 3864 is 3864.

4. How to Find the LCM of 3857 and 3864?

Answer:

Least Common Multiple of 3857 and 3864 = 2129064

Step 1: Find the prime factorization of 3857

3857 = 7 x 19 x 29

Step 2: Find the prime factorization of 3864

3864 = 2 x 2 x 2 x 3 x 7 x 23

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

LCM = 2129064 = 2 x 2 x 2 x 3 x 7 x 19 x 23 x 29

Step 4: Therefore, the least common multiple of 3857 and 3864 is 2129064.