Least Common Multiple of 7161 and 7169
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7161 and 7169 the smallest integer that is 51337209 that is divisible by both numbers.
Least Common Multiple (LCM) of 7161 and 7169 is 51337209.
LCM(7161,7169) = 51337209
LCM of 7161 and 7169
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7161 and 7169 by Prime method
- Least Common Multiple of 7161 and 7169 with GCF Formula
LCM of 7161 and 7169 is 51337209
Least common multiple can be found by multiplying the highest exponent prime factors of 7161 and 7169. First we will calculate the prime factors of 7161 and 7169.
Prime Factorization of 7161
| 3 | 7161 |
| 7 | 2387 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 7161 are 3, 7, 11,31. Prime factorization of 7161 in exponential form is:
7161 = 31×71×111×311
Prime Factorization of 7169
| 67 | 7169 |
| 107 | 107 |
| 1 |
Prime factors of 7169 are 67,107. Prime factorization of 7169 in exponential form is:
7169 = 671×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 7161 and 7169.
LCM(7161,7169) = 31×71×111×311×671×1071
LCM(7161,7169) = 51337209
Factors of 7161
List of positive integer factors of 7161 that divides 7161 without a remainder.
1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387, 7161
Factors of 7169
List of positive integer factors of 7169 that divides 7169 without a remainder.
1, 67, 107, 7169
Least Common Multiple of 7161 and 7169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7161 and 7169, than apply into the LCM equation.
GCF(7161,7169) = 1
LCM(7161,7169) = ( 7161 × 7169) / 1
LCM(7161,7169) = 51337209 / 1
LCM(7161,7169) = 51337209
Properties of LCM 7161 and 7169
(i) The LCM of 7169 and 7161 is associative
LCM of 7161 and 7169 = LCM of 7169 and 7161
Related Least Common Multiples of 7161
Related Least Common Multiples of 7169
Frequently Asked Questions on LCM of 7161 and 7169
1. What is the LCM of 7161 and 7169?
Answer: LCM of 7161 and 7169 is 51337209.
2. What are the Factors of 7161?
Answer: Factors of 7161 are 1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387, 7161. There are 16 integers that are factors of 7161. The greatest factor of 7161 is 7161.
3. What are the Factors of 7169?
Answer: Factors of 7169 are 1, 67, 107, 7169. There are 4 integers that are factors of 7169. The greatest factor of 7169 is 7169.
4. How to Find the LCM of 7161 and 7169?
Answer:
Least Common Multiple of 7161 and 7169 = 51337209
Step 1: Find the prime factorization of 7161
7161 = 3 x 7 x 11 x 31
Step 2: Find the prime factorization of 7169
7169 = 67 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51337209 = 3 x 7 x 11 x 31 x 67 x 107
Step 4: Therefore, the least common multiple of 7161 and 7169 is 51337209.