Least Common Multiple of 8862 and 8867

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 8867 the smallest integer that is 78579354 that is divisible by both numbers.

Least Common Multiple (LCM) of 8862 and 8867 is 78579354.

LCM(8862,8867) = 78579354

LCM of 8862 and 8867

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

LCM of:
and

Least Common Multiple of 8862 and 8867

LCM of 8862 and 8867 is 78579354

Least common multiple can be found by multiplying the highest exponent prime factors of 8862 and 8867. First we will calculate the prime factors of 8862 and 8867.

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 8867


8867 8867
1

Prime factors of 8867 are 8867. Prime factorization of 8867 in exponential form is:

8867 = 88671

Now multiplying the highest exponent prime factors to calculate the LCM of 8862 and 8867.

LCM(8862,8867) = 21×31×71×2111×88671
LCM(8862,8867) = 78579354

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 8867

List of positive integer factors of 8867 that divides 8867 without a remainder.

1, 8867

Least Common Multiple of 8862 and 8867 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 8867, than apply into the LCM equation.

GCF(8862,8867) = 1
LCM(8862,8867) = ( 8862 × 8867) / 1
LCM(8862,8867) = 78579354 / 1
LCM(8862,8867) = 78579354

Properties of LCM 8862 and 8867

(i) The LCM of 8867 and 8862 is associative

LCM of 8862 and 8867 = LCM of 8867 and 8862

Related Least Common Multiples of 8862

Related Least Common Multiples of 8867

Frequently Asked Questions on LCM of 8862 and 8867

1. What is the LCM of 8862 and 8867?

Answer: LCM of 8862 and 8867 is 78579354.

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 8867?

Answer: Factors of 8867 are 1, 8867. There are 2 integers that are factors of 8867. The greatest factor of 8867 is 8867.

4. How to Find the LCM of 8862 and 8867?

Answer:

Least Common Multiple of 8862 and 8867 = 78579354

Step 1: Find the prime factorization of 8862

8862 = 2 x 3 x 7 x 211

Step 2: Find the prime factorization of 8867

8867 = 8867

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

LCM = 78579354 = 2 x 3 x 7 x 211 x 8867

Step 4: Therefore, the least common multiple of 8862 and 8867 is 78579354.