Least Common Multiple of 8110 and 8115

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 8115 the smallest integer that is 13162530 that is divisible by both numbers.

Least Common Multiple (LCM) of 8110 and 8115 is 13162530.

LCM(8110,8115) = 13162530

LCM of 8110 and 8115

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

LCM of:
and

Least Common Multiple of 8110 and 8115

LCM of 8110 and 8115 is 13162530

Least common multiple can be found by multiplying the highest exponent prime factors of 8110 and 8115. First we will calculate the prime factors of 8110 and 8115.

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 8115


3 8115
5 2705
541 541
1

Prime factors of 8115 are 3, 5,541. Prime factorization of 8115 in exponential form is:

8115 = 31×51×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 8110 and 8115.

LCM(8110,8115) = 21×31×51×5411×8111
LCM(8110,8115) = 13162530

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 8115

List of positive integer factors of 8115 that divides 8115 without a remainder.

1, 3, 5, 15, 541, 1623, 2705, 8115

Least Common Multiple of 8110 and 8115 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 8115, than apply into the LCM equation.

GCF(8110,8115) = 5
LCM(8110,8115) = ( 8110 × 8115) / 5
LCM(8110,8115) = 65812650 / 5
LCM(8110,8115) = 13162530

Properties of LCM 8110 and 8115

(i) The LCM of 8115 and 8110 is associative

LCM of 8110 and 8115 = LCM of 8115 and 8110

Related Least Common Multiples of 8110

Related Least Common Multiples of 8115

Frequently Asked Questions on LCM of 8110 and 8115

1. What is the LCM of 8110 and 8115?

Answer: LCM of 8110 and 8115 is 13162530.

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 8115?

Answer: Factors of 8115 are 1, 3, 5, 15, 541, 1623, 2705, 8115. There are 8 integers that are factors of 8115. The greatest factor of 8115 is 8115.

4. How to Find the LCM of 8110 and 8115?

Answer:

Least Common Multiple of 8110 and 8115 = 13162530

Step 1: Find the prime factorization of 8110

8110 = 2 x 5 x 811

Step 2: Find the prime factorization of 8115

8115 = 3 x 5 x 541

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

LCM = 13162530 = 2 x 3 x 5 x 541 x 811

Step 4: Therefore, the least common multiple of 8110 and 8115 is 13162530.