Least Common Multiple of 8133 and 8137
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8133 and 8137 the smallest integer that is 66178221 that is divisible by both numbers.
Least Common Multiple (LCM) of 8133 and 8137 is 66178221.
LCM(8133,8137) = 66178221
LCM of 8133 and 8137
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8133 and 8137 by Prime method
- Least Common Multiple of 8133 and 8137 with GCF Formula
LCM of 8133 and 8137 is 66178221
Least common multiple can be found by multiplying the highest exponent prime factors of 8133 and 8137. First we will calculate the prime factors of 8133 and 8137.
Prime Factorization of 8133
| 3 | 8133 |
| 2711 | 2711 |
| 1 |
Prime factors of 8133 are 3,2711. Prime factorization of 8133 in exponential form is:
8133 = 31×27111
Prime Factorization of 8137
| 79 | 8137 |
| 103 | 103 |
| 1 |
Prime factors of 8137 are 79,103. Prime factorization of 8137 in exponential form is:
8137 = 791×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 8133 and 8137.
LCM(8133,8137) = 31×791×1031×27111
LCM(8133,8137) = 66178221
Factors of 8133
List of positive integer factors of 8133 that divides 8133 without a remainder.
1, 3, 2711, 8133
Factors of 8137
List of positive integer factors of 8137 that divides 8137 without a remainder.
1, 79, 103, 8137
Least Common Multiple of 8133 and 8137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8133 and 8137, than apply into the LCM equation.
GCF(8133,8137) = 1
LCM(8133,8137) = ( 8133 × 8137) / 1
LCM(8133,8137) = 66178221 / 1
LCM(8133,8137) = 66178221
Properties of LCM 8133 and 8137
(i) The LCM of 8137 and 8133 is associative
LCM of 8133 and 8137 = LCM of 8137 and 8133
Related Least Common Multiples of 8133
Related Least Common Multiples of 8137
Frequently Asked Questions on LCM of 8133 and 8137
1. What is the LCM of 8133 and 8137?
Answer: LCM of 8133 and 8137 is 66178221.
2. What are the Factors of 8133?
Answer: Factors of 8133 are 1, 3, 2711, 8133. There are 4 integers that are factors of 8133. The greatest factor of 8133 is 8133.
3. What are the Factors of 8137?
Answer: Factors of 8137 are 1, 79, 103, 8137. There are 4 integers that are factors of 8137. The greatest factor of 8137 is 8137.
4. How to Find the LCM of 8133 and 8137?
Answer:
Least Common Multiple of 8133 and 8137 = 66178221
Step 1: Find the prime factorization of 8133
8133 = 3 x 2711
Step 2: Find the prime factorization of 8137
8137 = 79 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66178221 = 3 x 79 x 103 x 2711
Step 4: Therefore, the least common multiple of 8133 and 8137 is 66178221.