Least Common Multiple of 8862 and 8870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8862 and 8870 the smallest integer that is 39302970 that is divisible by both numbers.

Least Common Multiple (LCM) of 8862 and 8870 is 39302970.

LCM(8862,8870) = 39302970

LCM of 8862 and 8870

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

LCM of:
and

Least Common Multiple of 8862 and 8870

LCM of 8862 and 8870 is 39302970

Least common multiple can be found by multiplying the highest exponent prime factors of 8862 and 8870. First we will calculate the prime factors of 8862 and 8870.

Prime Factorization of 8862


2 8862
3 4431
7 1477
211 211
1

Prime factors of 8862 are 2, 3, 7,211. Prime factorization of 8862 in exponential form is:

8862 = 21×31×71×2111

Prime Factorization of 8870


2 8870
5 4435
887 887
1

Prime factors of 8870 are 2, 5,887. Prime factorization of 8870 in exponential form is:

8870 = 21×51×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 8862 and 8870.

LCM(8862,8870) = 21×31×51×71×2111×8871
LCM(8862,8870) = 39302970

Factors of 8862

List of positive integer factors of 8862 that divides 8862 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 211, 422, 633, 1266, 1477, 2954, 4431, 8862

Factors of 8870

List of positive integer factors of 8870 that divides 8870 without a remainder.

1, 2, 5, 10, 887, 1774, 4435, 8870

Least Common Multiple of 8862 and 8870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8862 and 8870, than apply into the LCM equation.

GCF(8862,8870) = 2
LCM(8862,8870) = ( 8862 × 8870) / 2
LCM(8862,8870) = 78605940 / 2
LCM(8862,8870) = 39302970

Properties of LCM 8862 and 8870

(i) The LCM of 8870 and 8862 is associative

LCM of 8862 and 8870 = LCM of 8870 and 8862

Related Least Common Multiples of 8862

Related Least Common Multiples of 8870

Frequently Asked Questions on LCM of 8862 and 8870

1. What is the LCM of 8862 and 8870?

Answer: LCM of 8862 and 8870 is 39302970.

2. What are the Factors of 8862?

Answer: Factors of 8862 are 1, 2, 3, 6, 7, 14, 21, 42, 211, 422, 633, 1266, 1477, 2954, 4431, 8862. There are 16 integers that are factors of 8862. The greatest factor of 8862 is 8862.

3. What are the Factors of 8870?

Answer: Factors of 8870 are 1, 2, 5, 10, 887, 1774, 4435, 8870. There are 8 integers that are factors of 8870. The greatest factor of 8870 is 8870.

4. How to Find the LCM of 8862 and 8870?

Answer:

Least Common Multiple of 8862 and 8870 = 39302970

Step 1: Find the prime factorization of 8862

8862 = 2 x 3 x 7 x 211

Step 2: Find the prime factorization of 8870

8870 = 2 x 5 x 887

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

LCM = 39302970 = 2 x 3 x 5 x 7 x 211 x 887

Step 4: Therefore, the least common multiple of 8862 and 8870 is 39302970.