Least Common Multiple of 8148 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 8148 and 8153 the smallest integer that is 66430644 that is divisible by both numbers.
Least Common Multiple (LCM) of 8148 and 8153 is 66430644.
LCM(8148,8153) = 66430644
LCM of 8148 and 8153
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8148 and 8153 by Prime method
- Least Common Multiple of 8148 and 8153 with GCF Formula
LCM of 8148 and 8153 is 66430644
Least common multiple can be found by multiplying the highest exponent prime factors of 8148 and 8153. First we will calculate the prime factors of 8148 and 8153.
Prime Factorization of 8148
| 2 | 8148 |
| 2 | 4074 |
| 3 | 2037 |
| 7 | 679 |
| 97 | 97 |
| 1 |
Prime factors of 8148 are 2, 3, 7,97. Prime factorization of 8148 in exponential form is:
8148 = 22×31×71×971
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 8148 and 8153.
LCM(8148,8153) = 22×31×71×311×971×2631
LCM(8148,8153) = 66430644
Factors of 8148
List of positive integer factors of 8148 that divides 8148 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148
Factors of 8153
List of positive integer factors of 8153 that divides 8153 without a remainder.
1, 31, 263, 8153
Least Common Multiple of 8148 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 8148 and 8153, than apply into the LCM equation.
GCF(8148,8153) = 1
LCM(8148,8153) = ( 8148 × 8153) / 1
LCM(8148,8153) = 66430644 / 1
LCM(8148,8153) = 66430644
Properties of LCM 8148 and 8153
(i) The LCM of 8153 and 8148 is associative
LCM of 8148 and 8153 = LCM of 8153 and 8148
Related Least Common Multiples of 8148
Related Least Common Multiples of 8153
Frequently Asked Questions on LCM of 8148 and 8153
1. What is the LCM of 8148 and 8153?
Answer: LCM of 8148 and 8153 is 66430644.
2. What are the Factors of 8148?
Answer: Factors of 8148 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148. There are 24 integers that are factors of 8148. The greatest factor of 8148 is 8148.
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 8148 and 8153?
Answer:
Least Common Multiple of 8148 and 8153 = 66430644
Step 1: Find the prime factorization of 8148
8148 = 2 x 2 x 3 x 7 x 97
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 = 66430644 = 2 x 2 x 3 x 7 x 31 x 97 x 263
Step 4: Therefore, the least common multiple of 8148 and 8153 is 66430644.