Least Common Multiple of 3870 and 3877

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 3877 the smallest integer that is 15003990 that is divisible by both numbers.

Least Common Multiple (LCM) of 3870 and 3877 is 15003990.

LCM(3870,3877) = 15003990

LCM of 3870 and 3877

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

LCM of:
and

Least Common Multiple of 3870 and 3877

LCM of 3870 and 3877 is 15003990

Least common multiple can be found by multiplying the highest exponent prime factors of 3870 and 3877. First we will calculate the prime factors of 3870 and 3877.

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 3877


3877 3877
1

Prime factors of 3877 are 3877. Prime factorization of 3877 in exponential form is:

3877 = 38771

Now multiplying the highest exponent prime factors to calculate the LCM of 3870 and 3877.

LCM(3870,3877) = 21×32×51×431×38771
LCM(3870,3877) = 15003990

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 3877

List of positive integer factors of 3877 that divides 3877 without a remainder.

1, 3877

Least Common Multiple of 3870 and 3877 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 3877, than apply into the LCM equation.

GCF(3870,3877) = 1
LCM(3870,3877) = ( 3870 × 3877) / 1
LCM(3870,3877) = 15003990 / 1
LCM(3870,3877) = 15003990

Properties of LCM 3870 and 3877

(i) The LCM of 3877 and 3870 is associative

LCM of 3870 and 3877 = LCM of 3877 and 3870

Related Least Common Multiples of 3870

Related Least Common Multiples of 3877

Frequently Asked Questions on LCM of 3870 and 3877

1. What is the LCM of 3870 and 3877?

Answer: LCM of 3870 and 3877 is 15003990.

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 3877?

Answer: Factors of 3877 are 1, 3877. There are 2 integers that are factors of 3877. The greatest factor of 3877 is 3877.

4. How to Find the LCM of 3870 and 3877?

Answer:

Least Common Multiple of 3870 and 3877 = 15003990

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 3877

3877 = 3877

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

LCM = 15003990 = 2 x 3 x 3 x 5 x 43 x 3877

Step 4: Therefore, the least common multiple of 3870 and 3877 is 15003990.