Least Common Multiple of 3864 and 3870

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 3870 the smallest integer that is 2492280 that is divisible by both numbers.

Least Common Multiple (LCM) of 3864 and 3870 is 2492280.

LCM(3864,3870) = 2492280

LCM of 3864 and 3870

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

LCM of:
and

Least Common Multiple of 3864 and 3870

LCM of 3864 and 3870 is 2492280

Least common multiple can be found by multiplying the highest exponent prime factors of 3864 and 3870. First we will calculate the prime factors of 3864 and 3870.

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 3870


2 3870
3 1935
3 645
5 215
43 43
1

Prime factors of 3870 are 2, 3, 5,43. Prime factorization of 3870 in exponential form is:

3870 = 21×32×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3864 and 3870.

LCM(3864,3870) = 23×32×51×71×231×431
LCM(3864,3870) = 2492280

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 3870

List of positive integer factors of 3870 that divides 3870 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870

Least Common Multiple of 3864 and 3870 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 3870, than apply into the LCM equation.

GCF(3864,3870) = 6
LCM(3864,3870) = ( 3864 × 3870) / 6
LCM(3864,3870) = 14953680 / 6
LCM(3864,3870) = 2492280

Properties of LCM 3864 and 3870

(i) The LCM of 3870 and 3864 is associative

LCM of 3864 and 3870 = LCM of 3870 and 3864

Related Least Common Multiples of 3864

Related Least Common Multiples of 3870

Frequently Asked Questions on LCM of 3864 and 3870

1. What is the LCM of 3864 and 3870?

Answer: LCM of 3864 and 3870 is 2492280.

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 3870?

Answer: Factors of 3870 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870. There are 24 integers that are factors of 3870. The greatest factor of 3870 is 3870.

4. How to Find the LCM of 3864 and 3870?

Answer:

Least Common Multiple of 3864 and 3870 = 2492280

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 3870

3870 = 2 x 3 x 3 x 5 x 43

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

LCM = 2492280 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 23 x 43

Step 4: Therefore, the least common multiple of 3864 and 3870 is 2492280.