Least Common Multiple of 8153 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 8153 and 8157 the smallest integer that is 66504021 that is divisible by both numbers.

Least Common Multiple (LCM) of 8153 and 8157 is 66504021.

LCM(8153,8157) = 66504021

LCM of 8153 and 8157

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

LCM of:
and

Least Common Multiple of 8153 and 8157

LCM of 8153 and 8157 is 66504021

Least common multiple can be found by multiplying the highest exponent prime factors of 8153 and 8157. First we will calculate the prime factors of 8153 and 8157.

Prime Factorization of 8153


31 8153
263 263
1

Prime factors of 8153 are 31,263. Prime factorization of 8153 in exponential form is:

8153 = 311×2631

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 8153 and 8157.

LCM(8153,8157) = 31×311×2631×27191
LCM(8153,8157) = 66504021

Factors of 8153

List of positive integer factors of 8153 that divides 8153 without a remainder.

1, 31, 263, 8153

Factors of 8157

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

1, 3, 2719, 8157

Least Common Multiple of 8153 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 8153 and 8157, than apply into the LCM equation.

GCF(8153,8157) = 1
LCM(8153,8157) = ( 8153 × 8157) / 1
LCM(8153,8157) = 66504021 / 1
LCM(8153,8157) = 66504021

Properties of LCM 8153 and 8157

(i) The LCM of 8157 and 8153 is associative

LCM of 8153 and 8157 = LCM of 8157 and 8153

Related Least Common Multiples of 8153

Related Least Common Multiples of 8157

Frequently Asked Questions on LCM of 8153 and 8157

1. What is the LCM of 8153 and 8157?

Answer: LCM of 8153 and 8157 is 66504021.

2. What are the Factors of 8153?

Answer: Factors of 8153 are 1, 31, 263, 8153. There are 4 integers that are factors of 8153. The greatest factor of 8153 is 8153.

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 8153 and 8157?

Answer:

Least Common Multiple of 8153 and 8157 = 66504021

Step 1: Find the prime factorization of 8153

8153 = 31 x 263

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 = 66504021 = 3 x 31 x 263 x 2719

Step 4: Therefore, the least common multiple of 8153 and 8157 is 66504021.