Least Common Multiple of 8111 and 8117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8111 and 8117 the smallest integer that is 65836987 that is divisible by both numbers.

Least Common Multiple (LCM) of 8111 and 8117 is 65836987.

LCM(8111,8117) = 65836987

LCM of 8111 and 8117

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

LCM of:
and

Least Common Multiple of 8111 and 8117

LCM of 8111 and 8117 is 65836987

Least common multiple can be found by multiplying the highest exponent prime factors of 8111 and 8117. First we will calculate the prime factors of 8111 and 8117.

Prime Factorization of 8111


8111 8111
1

Prime factors of 8111 are 8111. Prime factorization of 8111 in exponential form is:

8111 = 81111

Prime Factorization of 8117


8117 8117
1

Prime factors of 8117 are 8117. Prime factorization of 8117 in exponential form is:

8117 = 81171

Now multiplying the highest exponent prime factors to calculate the LCM of 8111 and 8117.

LCM(8111,8117) = 81111×81171
LCM(8111,8117) = 65836987

Factors of 8111

List of positive integer factors of 8111 that divides 8111 without a remainder.

1, 8111

Factors of 8117

List of positive integer factors of 8117 that divides 8117 without a remainder.

1, 8117

Least Common Multiple of 8111 and 8117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8111 and 8117, than apply into the LCM equation.

GCF(8111,8117) = 1
LCM(8111,8117) = ( 8111 × 8117) / 1
LCM(8111,8117) = 65836987 / 1
LCM(8111,8117) = 65836987

Properties of LCM 8111 and 8117

(i) The LCM of 8117 and 8111 is associative

LCM of 8111 and 8117 = LCM of 8117 and 8111

Related Least Common Multiples of 8111

Related Least Common Multiples of 8117

Frequently Asked Questions on LCM of 8111 and 8117

1. What is the LCM of 8111 and 8117?

Answer: LCM of 8111 and 8117 is 65836987.

2. What are the Factors of 8111?

Answer: Factors of 8111 are 1, 8111. There are 2 integers that are factors of 8111. The greatest factor of 8111 is 8111.

3. What are the Factors of 8117?

Answer: Factors of 8117 are 1, 8117. There are 2 integers that are factors of 8117. The greatest factor of 8117 is 8117.

4. How to Find the LCM of 8111 and 8117?

Answer:

Least Common Multiple of 8111 and 8117 = 65836987

Step 1: Find the prime factorization of 8111

8111 = 8111

Step 2: Find the prime factorization of 8117

8117 = 8117

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

LCM = 65836987 = 8111 x 8117

Step 4: Therefore, the least common multiple of 8111 and 8117 is 65836987.