Least Common Multiple of 8153 and 8155

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 8155 the smallest integer that is 66487715 that is divisible by both numbers.

Least Common Multiple (LCM) of 8153 and 8155 is 66487715.

LCM(8153,8155) = 66487715

LCM of 8153 and 8155

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

LCM of:
and

Least Common Multiple of 8153 and 8155

LCM of 8153 and 8155 is 66487715

Least common multiple can be found by multiplying the highest exponent prime factors of 8153 and 8155. First we will calculate the prime factors of 8153 and 8155.

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 8155


5 8155
7 1631
233 233
1

Prime factors of 8155 are 5, 7,233. Prime factorization of 8155 in exponential form is:

8155 = 51×71×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 8153 and 8155.

LCM(8153,8155) = 51×71×311×2331×2631
LCM(8153,8155) = 66487715

Factors of 8153

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

1, 31, 263, 8153

Factors of 8155

List of positive integer factors of 8155 that divides 8155 without a remainder.

1, 5, 7, 35, 233, 1165, 1631, 8155

Least Common Multiple of 8153 and 8155 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 8155, than apply into the LCM equation.

GCF(8153,8155) = 1
LCM(8153,8155) = ( 8153 × 8155) / 1
LCM(8153,8155) = 66487715 / 1
LCM(8153,8155) = 66487715

Properties of LCM 8153 and 8155

(i) The LCM of 8155 and 8153 is associative

LCM of 8153 and 8155 = LCM of 8155 and 8153

Frequently Asked Questions on LCM of 8153 and 8155

1. What is the LCM of 8153 and 8155?

Answer: LCM of 8153 and 8155 is 66487715.

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 8155?

Answer: Factors of 8155 are 1, 5, 7, 35, 233, 1165, 1631, 8155. There are 8 integers that are factors of 8155. The greatest factor of 8155 is 8155.

4. How to Find the LCM of 8153 and 8155?

Answer:

Least Common Multiple of 8153 and 8155 = 66487715

Step 1: Find the prime factorization of 8153

8153 = 31 x 263

Step 2: Find the prime factorization of 8155

8155 = 5 x 7 x 233

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

LCM = 66487715 = 5 x 7 x 31 x 233 x 263

Step 4: Therefore, the least common multiple of 8153 and 8155 is 66487715.