Least Common Multiple of 8151 and 8157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8151 and 8157 the smallest integer that is 22162569 that is divisible by both numbers.

Least Common Multiple (LCM) of 8151 and 8157 is 22162569.

LCM(8151,8157) = 22162569

LCM of 8151 and 8157

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

LCM of:
and

Least Common Multiple of 8151 and 8157

LCM of 8151 and 8157 is 22162569

Least common multiple can be found by multiplying the highest exponent prime factors of 8151 and 8157. First we will calculate the prime factors of 8151 and 8157.

Prime Factorization of 8151


3 8151
11 2717
13 247
19 19
1

Prime factors of 8151 are 3, 11, 13,19. Prime factorization of 8151 in exponential form is:

8151 = 31×111×131×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8151 and 8157.

LCM(8151,8157) = 31×111×131×191×27191
LCM(8151,8157) = 22162569

Factors of 8151

List of positive integer factors of 8151 that divides 8151 without a remainder.

1, 3, 11, 13, 19, 33, 39, 57, 143, 209, 247, 429, 627, 741, 2717, 8151

Factors of 8157

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

1, 3, 2719, 8157

Least Common Multiple of 8151 and 8157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8151 and 8157, than apply into the LCM equation.

GCF(8151,8157) = 3
LCM(8151,8157) = ( 8151 × 8157) / 3
LCM(8151,8157) = 66487707 / 3
LCM(8151,8157) = 22162569

Properties of LCM 8151 and 8157

(i) The LCM of 8157 and 8151 is associative

LCM of 8151 and 8157 = LCM of 8157 and 8151

Related Least Common Multiples of 8151

Related Least Common Multiples of 8157

Frequently Asked Questions on LCM of 8151 and 8157

1. What is the LCM of 8151 and 8157?

Answer: LCM of 8151 and 8157 is 22162569.

2. What are the Factors of 8151?

Answer: Factors of 8151 are 1, 3, 11, 13, 19, 33, 39, 57, 143, 209, 247, 429, 627, 741, 2717, 8151. There are 16 integers that are factors of 8151. The greatest factor of 8151 is 8151.

3. 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.

4. How to Find the LCM of 8151 and 8157?

Answer:

Least Common Multiple of 8151 and 8157 = 22162569

Step 1: Find the prime factorization of 8151

8151 = 3 x 11 x 13 x 19

Step 2: Find the prime factorization of 8157

8157 = 3 x 2719

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

LCM = 22162569 = 3 x 11 x 13 x 19 x 2719

Step 4: Therefore, the least common multiple of 8151 and 8157 is 22162569.