Least Common Multiple of 8147 and 8153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8147 and 8153 the smallest integer that is 66422491 that is divisible by both numbers.

Least Common Multiple (LCM) of 8147 and 8153 is 66422491.

LCM(8147,8153) = 66422491

LCM of 8147 and 8153

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

LCM of:
and

Least Common Multiple of 8147 and 8153

LCM of 8147 and 8153 is 66422491

Least common multiple can be found by multiplying the highest exponent prime factors of 8147 and 8153. First we will calculate the prime factors of 8147 and 8153.

Prime Factorization of 8147


8147 8147
1

Prime factors of 8147 are 8147. Prime factorization of 8147 in exponential form is:

8147 = 81471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8147 and 8153.

LCM(8147,8153) = 311×2631×81471
LCM(8147,8153) = 66422491

Factors of 8147

List of positive integer factors of 8147 that divides 8147 without a remainder.

1, 8147

Factors of 8153

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

1, 31, 263, 8153

Least Common Multiple of 8147 and 8153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8147 and 8153, than apply into the LCM equation.

GCF(8147,8153) = 1
LCM(8147,8153) = ( 8147 × 8153) / 1
LCM(8147,8153) = 66422491 / 1
LCM(8147,8153) = 66422491

Properties of LCM 8147 and 8153

(i) The LCM of 8153 and 8147 is associative

LCM of 8147 and 8153 = LCM of 8153 and 8147

Related Least Common Multiples of 8147

Related Least Common Multiples of 8153

Frequently Asked Questions on LCM of 8147 and 8153

1. What is the LCM of 8147 and 8153?

Answer: LCM of 8147 and 8153 is 66422491.

2. What are the Factors of 8147?

Answer: Factors of 8147 are 1, 8147. There are 2 integers that are factors of 8147. The greatest factor of 8147 is 8147.

3. 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.

4. How to Find the LCM of 8147 and 8153?

Answer:

Least Common Multiple of 8147 and 8153 = 66422491

Step 1: Find the prime factorization of 8147

8147 = 8147

Step 2: Find the prime factorization of 8153

8153 = 31 x 263

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

LCM = 66422491 = 31 x 263 x 8147

Step 4: Therefore, the least common multiple of 8147 and 8153 is 66422491.