Least Common Multiple of 8105 and 8110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8105 and 8110 the smallest integer that is 13146310 that is divisible by both numbers.

Least Common Multiple (LCM) of 8105 and 8110 is 13146310.

LCM(8105,8110) = 13146310

LCM of 8105 and 8110

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

LCM of:
and

Least Common Multiple of 8105 and 8110

LCM of 8105 and 8110 is 13146310

Least common multiple can be found by multiplying the highest exponent prime factors of 8105 and 8110. First we will calculate the prime factors of 8105 and 8110.

Prime Factorization of 8105


5 8105
1621 1621
1

Prime factors of 8105 are 5,1621. Prime factorization of 8105 in exponential form is:

8105 = 51×16211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8105 and 8110.

LCM(8105,8110) = 21×51×8111×16211
LCM(8105,8110) = 13146310

Factors of 8105

List of positive integer factors of 8105 that divides 8105 without a remainder.

1, 5, 1621, 8105

Factors of 8110

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

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

Least Common Multiple of 8105 and 8110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8105 and 8110, than apply into the LCM equation.

GCF(8105,8110) = 5
LCM(8105,8110) = ( 8105 × 8110) / 5
LCM(8105,8110) = 65731550 / 5
LCM(8105,8110) = 13146310

Properties of LCM 8105 and 8110

(i) The LCM of 8110 and 8105 is associative

LCM of 8105 and 8110 = LCM of 8110 and 8105

Related Least Common Multiples of 8105

Related Least Common Multiples of 8110

Frequently Asked Questions on LCM of 8105 and 8110

1. What is the LCM of 8105 and 8110?

Answer: LCM of 8105 and 8110 is 13146310.

2. What are the Factors of 8105?

Answer: Factors of 8105 are 1, 5, 1621, 8105. There are 4 integers that are factors of 8105. The greatest factor of 8105 is 8105.

3. 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.

4. How to Find the LCM of 8105 and 8110?

Answer:

Least Common Multiple of 8105 and 8110 = 13146310

Step 1: Find the prime factorization of 8105

8105 = 5 x 1621

Step 2: Find the prime factorization of 8110

8110 = 2 x 5 x 811

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

LCM = 13146310 = 2 x 5 x 811 x 1621

Step 4: Therefore, the least common multiple of 8105 and 8110 is 13146310.