Least Common Multiple of 8117 and 8122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8117 and 8122 the smallest integer that is 65926274 that is divisible by both numbers.

Least Common Multiple (LCM) of 8117 and 8122 is 65926274.

LCM(8117,8122) = 65926274

LCM of 8117 and 8122

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

LCM of:
and

Least Common Multiple of 8117 and 8122

LCM of 8117 and 8122 is 65926274

Least common multiple can be found by multiplying the highest exponent prime factors of 8117 and 8122. First we will calculate the prime factors of 8117 and 8122.

Prime Factorization of 8117


8117 8117
1

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

8117 = 81171

Prime Factorization of 8122


2 8122
31 4061
131 131
1

Prime factors of 8122 are 2, 31,131. Prime factorization of 8122 in exponential form is:

8122 = 21×311×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 8117 and 8122.

LCM(8117,8122) = 21×311×1311×81171
LCM(8117,8122) = 65926274

Factors of 8117

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

1, 8117

Factors of 8122

List of positive integer factors of 8122 that divides 8122 without a remainder.

1, 2, 31, 62, 131, 262, 4061, 8122

Least Common Multiple of 8117 and 8122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8117 and 8122, than apply into the LCM equation.

GCF(8117,8122) = 1
LCM(8117,8122) = ( 8117 × 8122) / 1
LCM(8117,8122) = 65926274 / 1
LCM(8117,8122) = 65926274

Properties of LCM 8117 and 8122

(i) The LCM of 8122 and 8117 is associative

LCM of 8117 and 8122 = LCM of 8122 and 8117

Related Least Common Multiples of 8117

Related Least Common Multiples of 8122

Frequently Asked Questions on LCM of 8117 and 8122

1. What is the LCM of 8117 and 8122?

Answer: LCM of 8117 and 8122 is 65926274.

2. 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.

3. What are the Factors of 8122?

Answer: Factors of 8122 are 1, 2, 31, 62, 131, 262, 4061, 8122. There are 8 integers that are factors of 8122. The greatest factor of 8122 is 8122.

4. How to Find the LCM of 8117 and 8122?

Answer:

Least Common Multiple of 8117 and 8122 = 65926274

Step 1: Find the prime factorization of 8117

8117 = 8117

Step 2: Find the prime factorization of 8122

8122 = 2 x 31 x 131

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

LCM = 65926274 = 2 x 31 x 131 x 8117

Step 4: Therefore, the least common multiple of 8117 and 8122 is 65926274.