Least Common Multiple of 3858 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 3858 and 3864 the smallest integer that is 2484552 that is divisible by both numbers.

Least Common Multiple (LCM) of 3858 and 3864 is 2484552.

LCM(3858,3864) = 2484552

LCM of 3858 and 3864

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

LCM of:
and

Least Common Multiple of 3858 and 3864

LCM of 3858 and 3864 is 2484552

Least common multiple can be found by multiplying the highest exponent prime factors of 3858 and 3864. First we will calculate the prime factors of 3858 and 3864.

Prime Factorization of 3858


2 3858
3 1929
643 643
1

Prime factors of 3858 are 2, 3,643. Prime factorization of 3858 in exponential form is:

3858 = 21×31×6431

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 3858 and 3864.

LCM(3858,3864) = 23×31×71×231×6431
LCM(3858,3864) = 2484552

Factors of 3858

List of positive integer factors of 3858 that divides 3858 without a remainder.

1, 2, 3, 6, 643, 1286, 1929, 3858

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 3858 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 3858 and 3864, than apply into the LCM equation.

GCF(3858,3864) = 6
LCM(3858,3864) = ( 3858 × 3864) / 6
LCM(3858,3864) = 14907312 / 6
LCM(3858,3864) = 2484552

Properties of LCM 3858 and 3864

(i) The LCM of 3864 and 3858 is associative

LCM of 3858 and 3864 = LCM of 3864 and 3858

Related Least Common Multiples of 3858

Related Least Common Multiples of 3864

Frequently Asked Questions on LCM of 3858 and 3864

1. What is the LCM of 3858 and 3864?

Answer: LCM of 3858 and 3864 is 2484552.

2. What are the Factors of 3858?

Answer: Factors of 3858 are 1, 2, 3, 6, 643, 1286, 1929, 3858. There are 8 integers that are factors of 3858. The greatest factor of 3858 is 3858.

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 3858 and 3864?

Answer:

Least Common Multiple of 3858 and 3864 = 2484552

Step 1: Find the prime factorization of 3858

3858 = 2 x 3 x 643

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 = 2484552 = 2 x 2 x 2 x 3 x 7 x 23 x 643

Step 4: Therefore, the least common multiple of 3858 and 3864 is 2484552.