Least Common Multiple of 8806 and 8814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8806 and 8814 the smallest integer that is 38808042 that is divisible by both numbers.

Least Common Multiple (LCM) of 8806 and 8814 is 38808042.

LCM(8806,8814) = 38808042

LCM of 8806 and 8814

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

LCM of:
and

Least Common Multiple of 8806 and 8814

LCM of 8806 and 8814 is 38808042

Least common multiple can be found by multiplying the highest exponent prime factors of 8806 and 8814. First we will calculate the prime factors of 8806 and 8814.

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

Prime Factorization of 8814


2 8814
3 4407
13 1469
113 113
1

Prime factors of 8814 are 2, 3, 13,113. Prime factorization of 8814 in exponential form is:

8814 = 21×31×131×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 8806 and 8814.

LCM(8806,8814) = 21×31×71×131×171×371×1131
LCM(8806,8814) = 38808042

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

Factors of 8814

List of positive integer factors of 8814 that divides 8814 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814

Least Common Multiple of 8806 and 8814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8806 and 8814, than apply into the LCM equation.

GCF(8806,8814) = 2
LCM(8806,8814) = ( 8806 × 8814) / 2
LCM(8806,8814) = 77616084 / 2
LCM(8806,8814) = 38808042

Properties of LCM 8806 and 8814

(i) The LCM of 8814 and 8806 is associative

LCM of 8806 and 8814 = LCM of 8814 and 8806

Related Least Common Multiples of 8806

Related Least Common Multiples of 8814

Frequently Asked Questions on LCM of 8806 and 8814

1. What is the LCM of 8806 and 8814?

Answer: LCM of 8806 and 8814 is 38808042.

2. 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.

3. What are the Factors of 8814?

Answer: Factors of 8814 are 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814. There are 16 integers that are factors of 8814. The greatest factor of 8814 is 8814.

4. How to Find the LCM of 8806 and 8814?

Answer:

Least Common Multiple of 8806 and 8814 = 38808042

Step 1: Find the prime factorization of 8806

8806 = 2 x 7 x 17 x 37

Step 2: Find the prime factorization of 8814

8814 = 2 x 3 x 13 x 113

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

LCM = 38808042 = 2 x 3 x 7 x 13 x 17 x 37 x 113

Step 4: Therefore, the least common multiple of 8806 and 8814 is 38808042.