Least Common Multiple of 7133 and 7137
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7133 and 7137 the smallest integer that is 50908221 that is divisible by both numbers.
Least Common Multiple (LCM) of 7133 and 7137 is 50908221.
LCM(7133,7137) = 50908221
LCM of 7133 and 7137
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7133 and 7137 by Prime method
- Least Common Multiple of 7133 and 7137 with GCF Formula
LCM of 7133 and 7137 is 50908221
Least common multiple can be found by multiplying the highest exponent prime factors of 7133 and 7137. First we will calculate the prime factors of 7133 and 7137.
Prime Factorization of 7133
| 7 | 7133 |
| 1019 | 1019 |
| 1 |
Prime factors of 7133 are 7,1019. Prime factorization of 7133 in exponential form is:
7133 = 71×10191
Prime Factorization of 7137
| 3 | 7137 |
| 3 | 2379 |
| 13 | 793 |
| 61 | 61 |
| 1 |
Prime factors of 7137 are 3, 13,61. Prime factorization of 7137 in exponential form is:
7137 = 32×131×611
Now multiplying the highest exponent prime factors to calculate the LCM of 7133 and 7137.
LCM(7133,7137) = 32×71×131×611×10191
LCM(7133,7137) = 50908221
Factors of 7133
List of positive integer factors of 7133 that divides 7133 without a remainder.
1, 7, 1019, 7133
Factors of 7137
List of positive integer factors of 7137 that divides 7137 without a remainder.
1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137
Least Common Multiple of 7133 and 7137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7133 and 7137, than apply into the LCM equation.
GCF(7133,7137) = 1
LCM(7133,7137) = ( 7133 × 7137) / 1
LCM(7133,7137) = 50908221 / 1
LCM(7133,7137) = 50908221
Properties of LCM 7133 and 7137
(i) The LCM of 7137 and 7133 is associative
LCM of 7133 and 7137 = LCM of 7137 and 7133
Related Least Common Multiples of 7133
Related Least Common Multiples of 7137
Frequently Asked Questions on LCM of 7133 and 7137
1. What is the LCM of 7133 and 7137?
Answer: LCM of 7133 and 7137 is 50908221.
2. What are the Factors of 7133?
Answer: Factors of 7133 are 1, 7, 1019, 7133. There are 4 integers that are factors of 7133. The greatest factor of 7133 is 7133.
3. What are the Factors of 7137?
Answer: Factors of 7137 are 1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137. There are 12 integers that are factors of 7137. The greatest factor of 7137 is 7137.
4. How to Find the LCM of 7133 and 7137?
Answer:
Least Common Multiple of 7133 and 7137 = 50908221
Step 1: Find the prime factorization of 7133
7133 = 7 x 1019
Step 2: Find the prime factorization of 7137
7137 = 3 x 3 x 13 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50908221 = 3 x 3 x 7 x 13 x 61 x 1019
Step 4: Therefore, the least common multiple of 7133 and 7137 is 50908221.