Least Common Multiple of 8798 and 8806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8798 and 8806 the smallest integer that is 38737594 that is divisible by both numbers.

Least Common Multiple (LCM) of 8798 and 8806 is 38737594.

LCM(8798,8806) = 38737594

LCM of 8798 and 8806

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

LCM of:
and

Least Common Multiple of 8798 and 8806

LCM of 8798 and 8806 is 38737594

Least common multiple can be found by multiplying the highest exponent prime factors of 8798 and 8806. First we will calculate the prime factors of 8798 and 8806.

Prime Factorization of 8798


2 8798
53 4399
83 83
1

Prime factors of 8798 are 2, 53,83. Prime factorization of 8798 in exponential form is:

8798 = 21×531×831

Prime Factorization of 8806


2 8806
7 4403
17 629
37 37
1

Prime factors of 8806 are 2, 7, 17,37. Prime factorization of 8806 in exponential form is:

8806 = 21×71×171×371

Now multiplying the highest exponent prime factors to calculate the LCM of 8798 and 8806.

LCM(8798,8806) = 21×71×171×371×531×831
LCM(8798,8806) = 38737594

Factors of 8798

List of positive integer factors of 8798 that divides 8798 without a remainder.

1, 2, 53, 83, 106, 166, 4399, 8798

Factors of 8806

List of positive integer factors of 8806 that divides 8806 without a remainder.

1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806

Least Common Multiple of 8798 and 8806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8798 and 8806, than apply into the LCM equation.

GCF(8798,8806) = 2
LCM(8798,8806) = ( 8798 × 8806) / 2
LCM(8798,8806) = 77475188 / 2
LCM(8798,8806) = 38737594

Properties of LCM 8798 and 8806

(i) The LCM of 8806 and 8798 is associative

LCM of 8798 and 8806 = LCM of 8806 and 8798

Related Least Common Multiples of 8798

Related Least Common Multiples of 8806

Frequently Asked Questions on LCM of 8798 and 8806

1. What is the LCM of 8798 and 8806?

Answer: LCM of 8798 and 8806 is 38737594.

2. What are the Factors of 8798?

Answer: Factors of 8798 are 1, 2, 53, 83, 106, 166, 4399, 8798. There are 8 integers that are factors of 8798. The greatest factor of 8798 is 8798.

3. What are the Factors of 8806?

Answer: Factors of 8806 are 1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806. There are 16 integers that are factors of 8806. The greatest factor of 8806 is 8806.

4. How to Find the LCM of 8798 and 8806?

Answer:

Least Common Multiple of 8798 and 8806 = 38737594

Step 1: Find the prime factorization of 8798

8798 = 2 x 53 x 83

Step 2: Find the prime factorization of 8806

8806 = 2 x 7 x 17 x 37

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

LCM = 38737594 = 2 x 7 x 17 x 37 x 53 x 83

Step 4: Therefore, the least common multiple of 8798 and 8806 is 38737594.