Least Common Multiple of 3862 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 3862 and 3870 the smallest integer that is 7472970 that is divisible by both numbers.

Least Common Multiple (LCM) of 3862 and 3870 is 7472970.

LCM(3862,3870) = 7472970

LCM of 3862 and 3870

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

LCM of:
and

Least Common Multiple of 3862 and 3870

LCM of 3862 and 3870 is 7472970

Least common multiple can be found by multiplying the highest exponent prime factors of 3862 and 3870. First we will calculate the prime factors of 3862 and 3870.

Prime Factorization of 3862


2 3862
1931 1931
1

Prime factors of 3862 are 2,1931. Prime factorization of 3862 in exponential form is:

3862 = 21×19311

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 3862 and 3870.

LCM(3862,3870) = 21×32×51×431×19311
LCM(3862,3870) = 7472970

Factors of 3862

List of positive integer factors of 3862 that divides 3862 without a remainder.

1, 2, 1931, 3862

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 3862 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 3862 and 3870, than apply into the LCM equation.

GCF(3862,3870) = 2
LCM(3862,3870) = ( 3862 × 3870) / 2
LCM(3862,3870) = 14945940 / 2
LCM(3862,3870) = 7472970

Properties of LCM 3862 and 3870

(i) The LCM of 3870 and 3862 is associative

LCM of 3862 and 3870 = LCM of 3870 and 3862

Related Least Common Multiples of 3862

Related Least Common Multiples of 3870

Frequently Asked Questions on LCM of 3862 and 3870

1. What is the LCM of 3862 and 3870?

Answer: LCM of 3862 and 3870 is 7472970.

2. What are the Factors of 3862?

Answer: Factors of 3862 are 1, 2, 1931, 3862. There are 4 integers that are factors of 3862. The greatest factor of 3862 is 3862.

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 3862 and 3870?

Answer:

Least Common Multiple of 3862 and 3870 = 7472970

Step 1: Find the prime factorization of 3862

3862 = 2 x 1931

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 = 7472970 = 2 x 3 x 3 x 5 x 43 x 1931

Step 4: Therefore, the least common multiple of 3862 and 3870 is 7472970.