Least Common Multiple of 8836 and 8842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8836 and 8842 the smallest integer that is 39063956 that is divisible by both numbers.

Least Common Multiple (LCM) of 8836 and 8842 is 39063956.

LCM(8836,8842) = 39063956

LCM of 8836 and 8842

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

LCM of:
and

Least Common Multiple of 8836 and 8842

LCM of 8836 and 8842 is 39063956

Least common multiple can be found by multiplying the highest exponent prime factors of 8836 and 8842. First we will calculate the prime factors of 8836 and 8842.

Prime Factorization of 8836


2 8836
2 4418
47 2209
47 47
1

Prime factors of 8836 are 2,47. Prime factorization of 8836 in exponential form is:

8836 = 22×472

Prime Factorization of 8842


2 8842
4421 4421
1

Prime factors of 8842 are 2,4421. Prime factorization of 8842 in exponential form is:

8842 = 21×44211

Now multiplying the highest exponent prime factors to calculate the LCM of 8836 and 8842.

LCM(8836,8842) = 22×472×44211
LCM(8836,8842) = 39063956

Factors of 8836

List of positive integer factors of 8836 that divides 8836 without a remainder.

1, 2, 4, 47, 94, 188, 2209, 4418, 8836

Factors of 8842

List of positive integer factors of 8842 that divides 8842 without a remainder.

1, 2, 4421, 8842

Least Common Multiple of 8836 and 8842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8836 and 8842, than apply into the LCM equation.

GCF(8836,8842) = 2
LCM(8836,8842) = ( 8836 × 8842) / 2
LCM(8836,8842) = 78127912 / 2
LCM(8836,8842) = 39063956

Properties of LCM 8836 and 8842

(i) The LCM of 8842 and 8836 is associative

LCM of 8836 and 8842 = LCM of 8842 and 8836

Related Least Common Multiples of 8836

Related Least Common Multiples of 8842

Frequently Asked Questions on LCM of 8836 and 8842

1. What is the LCM of 8836 and 8842?

Answer: LCM of 8836 and 8842 is 39063956.

2. What are the Factors of 8836?

Answer: Factors of 8836 are 1, 2, 4, 47, 94, 188, 2209, 4418, 8836. There are 9 integers that are factors of 8836. The greatest factor of 8836 is 8836.

3. What are the Factors of 8842?

Answer: Factors of 8842 are 1, 2, 4421, 8842. There are 4 integers that are factors of 8842. The greatest factor of 8842 is 8842.

4. How to Find the LCM of 8836 and 8842?

Answer:

Least Common Multiple of 8836 and 8842 = 39063956

Step 1: Find the prime factorization of 8836

8836 = 2 x 2 x 47 x 47

Step 2: Find the prime factorization of 8842

8842 = 2 x 4421

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

LCM = 39063956 = 2 x 2 x 47 x 47 x 4421

Step 4: Therefore, the least common multiple of 8836 and 8842 is 39063956.