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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 8155 and 8153 is associative
LCM of 8153 and 8155 = LCM of 8155 and 8153
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.