Least Common Multiple of 8157 and 8165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8157 and 8165 the smallest integer that is 66601905 that is divisible by both numbers.

Least Common Multiple (LCM) of 8157 and 8165 is 66601905.

LCM(8157,8165) = 66601905

LCM of 8157 and 8165

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

LCM of:
and

Least Common Multiple of 8157 and 8165

LCM of 8157 and 8165 is 66601905

Least common multiple can be found by multiplying the highest exponent prime factors of 8157 and 8165. First we will calculate the prime factors of 8157 and 8165.

Prime Factorization of 8157


3 8157
2719 2719
1

Prime factors of 8157 are 3,2719. Prime factorization of 8157 in exponential form is:

8157 = 31×27191

Prime Factorization of 8165


5 8165
23 1633
71 71
1

Prime factors of 8165 are 5, 23,71. Prime factorization of 8165 in exponential form is:

8165 = 51×231×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8157 and 8165.

LCM(8157,8165) = 31×51×231×711×27191
LCM(8157,8165) = 66601905

Factors of 8157

List of positive integer factors of 8157 that divides 8157 without a remainder.

1, 3, 2719, 8157

Factors of 8165

List of positive integer factors of 8165 that divides 8165 without a remainder.

1, 5, 23, 71, 115, 355, 1633, 8165

Least Common Multiple of 8157 and 8165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8157 and 8165, than apply into the LCM equation.

GCF(8157,8165) = 1
LCM(8157,8165) = ( 8157 × 8165) / 1
LCM(8157,8165) = 66601905 / 1
LCM(8157,8165) = 66601905

Properties of LCM 8157 and 8165

(i) The LCM of 8165 and 8157 is associative

LCM of 8157 and 8165 = LCM of 8165 and 8157

Related Least Common Multiples of 8157

Related Least Common Multiples of 8165

Frequently Asked Questions on LCM of 8157 and 8165

1. What is the LCM of 8157 and 8165?

Answer: LCM of 8157 and 8165 is 66601905.

2. What are the Factors of 8157?

Answer: Factors of 8157 are 1, 3, 2719, 8157. There are 4 integers that are factors of 8157. The greatest factor of 8157 is 8157.

3. What are the Factors of 8165?

Answer: Factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165. There are 8 integers that are factors of 8165. The greatest factor of 8165 is 8165.

4. How to Find the LCM of 8157 and 8165?

Answer:

Least Common Multiple of 8157 and 8165 = 66601905

Step 1: Find the prime factorization of 8157

8157 = 3 x 2719

Step 2: Find the prime factorization of 8165

8165 = 5 x 23 x 71

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

LCM = 66601905 = 3 x 5 x 23 x 71 x 2719

Step 4: Therefore, the least common multiple of 8157 and 8165 is 66601905.