Least Common Multiple of 3872 and 3880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3872 and 3880 the smallest integer that is 1877920 that is divisible by both numbers.

Least Common Multiple (LCM) of 3872 and 3880 is 1877920.

LCM(3872,3880) = 1877920

LCM of 3872 and 3880

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

LCM of:
and

Least Common Multiple of 3872 and 3880

LCM of 3872 and 3880 is 1877920

Least common multiple can be found by multiplying the highest exponent prime factors of 3872 and 3880. First we will calculate the prime factors of 3872 and 3880.

Prime Factorization of 3872


2 3872
2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 3872 are 2,11. Prime factorization of 3872 in exponential form is:

3872 = 25×112

Prime Factorization of 3880


2 3880
2 1940
2 970
5 485
97 97
1

Prime factors of 3880 are 2, 5,97. Prime factorization of 3880 in exponential form is:

3880 = 23×51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 3872 and 3880.

LCM(3872,3880) = 25×51×112×971
LCM(3872,3880) = 1877920

Factors of 3872

List of positive integer factors of 3872 that divides 3872 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872

Factors of 3880

List of positive integer factors of 3880 that divides 3880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880

Least Common Multiple of 3872 and 3880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3872 and 3880, than apply into the LCM equation.

GCF(3872,3880) = 8
LCM(3872,3880) = ( 3872 × 3880) / 8
LCM(3872,3880) = 15023360 / 8
LCM(3872,3880) = 1877920

Properties of LCM 3872 and 3880

(i) The LCM of 3880 and 3872 is associative

LCM of 3872 and 3880 = LCM of 3880 and 3872

Related Least Common Multiples of 3872

Related Least Common Multiples of 3880

Frequently Asked Questions on LCM of 3872 and 3880

1. What is the LCM of 3872 and 3880?

Answer: LCM of 3872 and 3880 is 1877920.

2. What are the Factors of 3872?

Answer: Factors of 3872 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872. There are 18 integers that are factors of 3872. The greatest factor of 3872 is 3872.

3. What are the Factors of 3880?

Answer: Factors of 3880 are 1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880. There are 16 integers that are factors of 3880. The greatest factor of 3880 is 3880.

4. How to Find the LCM of 3872 and 3880?

Answer:

Least Common Multiple of 3872 and 3880 = 1877920

Step 1: Find the prime factorization of 3872

3872 = 2 x 2 x 2 x 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 3880

3880 = 2 x 2 x 2 x 5 x 97

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

LCM = 1877920 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 11 x 97

Step 4: Therefore, the least common multiple of 3872 and 3880 is 1877920.