Least Common Multiple of 3870 and 3878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3870 and 3878 the smallest integer that is 7503930 that is divisible by both numbers.

Least Common Multiple (LCM) of 3870 and 3878 is 7503930.

LCM(3870,3878) = 7503930

LCM of 3870 and 3878

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

LCM of:
and

Least Common Multiple of 3870 and 3878

LCM of 3870 and 3878 is 7503930

Least common multiple can be found by multiplying the highest exponent prime factors of 3870 and 3878. First we will calculate the prime factors of 3870 and 3878.

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

Prime Factorization of 3878


2 3878
7 1939
277 277
1

Prime factors of 3878 are 2, 7,277. Prime factorization of 3878 in exponential form is:

3878 = 21×71×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 3870 and 3878.

LCM(3870,3878) = 21×32×51×71×431×2771
LCM(3870,3878) = 7503930

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

Factors of 3878

List of positive integer factors of 3878 that divides 3878 without a remainder.

1, 2, 7, 14, 277, 554, 1939, 3878

Least Common Multiple of 3870 and 3878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3870 and 3878, than apply into the LCM equation.

GCF(3870,3878) = 2
LCM(3870,3878) = ( 3870 × 3878) / 2
LCM(3870,3878) = 15007860 / 2
LCM(3870,3878) = 7503930

Properties of LCM 3870 and 3878

(i) The LCM of 3878 and 3870 is associative

LCM of 3870 and 3878 = LCM of 3878 and 3870

Related Least Common Multiples of 3870

Related Least Common Multiples of 3878

Frequently Asked Questions on LCM of 3870 and 3878

1. What is the LCM of 3870 and 3878?

Answer: LCM of 3870 and 3878 is 7503930.

2. 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.

3. What are the Factors of 3878?

Answer: Factors of 3878 are 1, 2, 7, 14, 277, 554, 1939, 3878. There are 8 integers that are factors of 3878. The greatest factor of 3878 is 3878.

4. How to Find the LCM of 3870 and 3878?

Answer:

Least Common Multiple of 3870 and 3878 = 7503930

Step 1: Find the prime factorization of 3870

3870 = 2 x 3 x 3 x 5 x 43

Step 2: Find the prime factorization of 3878

3878 = 2 x 7 x 277

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

LCM = 7503930 = 2 x 3 x 3 x 5 x 7 x 43 x 277

Step 4: Therefore, the least common multiple of 3870 and 3878 is 7503930.