Least Common Multiple of 8110 and 8118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8110 and 8118 the smallest integer that is 32918490 that is divisible by both numbers.

Least Common Multiple (LCM) of 8110 and 8118 is 32918490.

LCM(8110,8118) = 32918490

LCM of 8110 and 8118

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

LCM of:
and

Least Common Multiple of 8110 and 8118

LCM of 8110 and 8118 is 32918490

Least common multiple can be found by multiplying the highest exponent prime factors of 8110 and 8118. First we will calculate the prime factors of 8110 and 8118.

Prime Factorization of 8110


2 8110
5 4055
811 811
1

Prime factors of 8110 are 2, 5,811. Prime factorization of 8110 in exponential form is:

8110 = 21×51×8111

Prime Factorization of 8118


2 8118
3 4059
3 1353
11 451
41 41
1

Prime factors of 8118 are 2, 3, 11,41. Prime factorization of 8118 in exponential form is:

8118 = 21×32×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 8110 and 8118.

LCM(8110,8118) = 21×32×51×111×411×8111
LCM(8110,8118) = 32918490

Factors of 8110

List of positive integer factors of 8110 that divides 8110 without a remainder.

1, 2, 5, 10, 811, 1622, 4055, 8110

Factors of 8118

List of positive integer factors of 8118 that divides 8118 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 41, 66, 82, 99, 123, 198, 246, 369, 451, 738, 902, 1353, 2706, 4059, 8118

Least Common Multiple of 8110 and 8118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8110 and 8118, than apply into the LCM equation.

GCF(8110,8118) = 2
LCM(8110,8118) = ( 8110 × 8118) / 2
LCM(8110,8118) = 65836980 / 2
LCM(8110,8118) = 32918490

Properties of LCM 8110 and 8118

(i) The LCM of 8118 and 8110 is associative

LCM of 8110 and 8118 = LCM of 8118 and 8110

Related Least Common Multiples of 8110

Related Least Common Multiples of 8118

Frequently Asked Questions on LCM of 8110 and 8118

1. What is the LCM of 8110 and 8118?

Answer: LCM of 8110 and 8118 is 32918490.

2. What are the Factors of 8110?

Answer: Factors of 8110 are 1, 2, 5, 10, 811, 1622, 4055, 8110. There are 8 integers that are factors of 8110. The greatest factor of 8110 is 8110.

3. What are the Factors of 8118?

Answer: Factors of 8118 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 41, 66, 82, 99, 123, 198, 246, 369, 451, 738, 902, 1353, 2706, 4059, 8118. There are 24 integers that are factors of 8118. The greatest factor of 8118 is 8118.

4. How to Find the LCM of 8110 and 8118?

Answer:

Least Common Multiple of 8110 and 8118 = 32918490

Step 1: Find the prime factorization of 8110

8110 = 2 x 5 x 811

Step 2: Find the prime factorization of 8118

8118 = 2 x 3 x 3 x 11 x 41

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

LCM = 32918490 = 2 x 3 x 3 x 5 x 11 x 41 x 811

Step 4: Therefore, the least common multiple of 8110 and 8118 is 32918490.