Least Common Multiple of 3864 and 3868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3864 and 3868 the smallest integer that is 3736488 that is divisible by both numbers.

Least Common Multiple (LCM) of 3864 and 3868 is 3736488.

LCM(3864,3868) = 3736488

LCM of 3864 and 3868

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

LCM of:
and

Least Common Multiple of 3864 and 3868

LCM of 3864 and 3868 is 3736488

Least common multiple can be found by multiplying the highest exponent prime factors of 3864 and 3868. First we will calculate the prime factors of 3864 and 3868.

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

Prime Factorization of 3868


2 3868
2 1934
967 967
1

Prime factors of 3868 are 2,967. Prime factorization of 3868 in exponential form is:

3868 = 22×9671

Now multiplying the highest exponent prime factors to calculate the LCM of 3864 and 3868.

LCM(3864,3868) = 23×31×71×231×9671
LCM(3864,3868) = 3736488

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

Factors of 3868

List of positive integer factors of 3868 that divides 3868 without a remainder.

1, 2, 4, 967, 1934, 3868

Least Common Multiple of 3864 and 3868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3864 and 3868, than apply into the LCM equation.

GCF(3864,3868) = 4
LCM(3864,3868) = ( 3864 × 3868) / 4
LCM(3864,3868) = 14945952 / 4
LCM(3864,3868) = 3736488

Properties of LCM 3864 and 3868

(i) The LCM of 3868 and 3864 is associative

LCM of 3864 and 3868 = LCM of 3868 and 3864

Related Least Common Multiples of 3864

Related Least Common Multiples of 3868

Frequently Asked Questions on LCM of 3864 and 3868

1. What is the LCM of 3864 and 3868?

Answer: LCM of 3864 and 3868 is 3736488.

2. 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.

3. What are the Factors of 3868?

Answer: Factors of 3868 are 1, 2, 4, 967, 1934, 3868. There are 6 integers that are factors of 3868. The greatest factor of 3868 is 3868.

4. How to Find the LCM of 3864 and 3868?

Answer:

Least Common Multiple of 3864 and 3868 = 3736488

Step 1: Find the prime factorization of 3864

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

Step 2: Find the prime factorization of 3868

3868 = 2 x 2 x 967

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

LCM = 3736488 = 2 x 2 x 2 x 3 x 7 x 23 x 967

Step 4: Therefore, the least common multiple of 3864 and 3868 is 3736488.