Least Common Multiple of 89161 and 89169
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 89161 and 89169 the smallest integer that is 7950397209 that is divisible by both numbers.
Least Common Multiple (LCM) of 89161 and 89169 is 7950397209.
LCM(89161,89169) = 7950397209
LCM of 89161 and 89169
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 89161 and 89169 by Prime method
- Least Common Multiple of 89161 and 89169 with GCF Formula
LCM of 89161 and 89169 is 7950397209
Least common multiple can be found by multiplying the highest exponent prime factors of 89161 and 89169. First we will calculate the prime factors of 89161 and 89169.
Prime Factorization of 89161
| 163 | 89161 |
| 547 | 547 |
| 1 |
Prime factors of 89161 are 163,547. Prime factorization of 89161 in exponential form is:
89161 = 1631×5471
Prime Factorization of 89169
| 3 | 89169 |
| 29723 | 29723 |
| 1 |
Prime factors of 89169 are 3,29723. Prime factorization of 89169 in exponential form is:
89169 = 31×297231
Now multiplying the highest exponent prime factors to calculate the LCM of 89161 and 89169.
LCM(89161,89169) = 31×1631×5471×297231
LCM(89161,89169) = 7950397209
Factors of 89161
List of positive integer factors of 89161 that divides 89161 without a remainder.
1, 163, 547, 89161
Factors of 89169
List of positive integer factors of 89169 that divides 89169 without a remainder.
1, 3, 29723, 89169
Least Common Multiple of 89161 and 89169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89161 and 89169, than apply into the LCM equation.
GCF(89161,89169) = 1
LCM(89161,89169) = ( 89161 × 89169) / 1
LCM(89161,89169) = 7950397209 / 1
LCM(89161,89169) = 7950397209
Properties of LCM 89161 and 89169
(i) The LCM of 89169 and 89161 is associative
LCM of 89161 and 89169 = LCM of 89169 and 89161
Related Least Common Multiples of 89161
Related Least Common Multiples of 89169
Frequently Asked Questions on LCM of 89161 and 89169
1. What is the LCM of 89161 and 89169?
Answer: LCM of 89161 and 89169 is 7950397209.
2. What are the Factors of 89161?
Answer: Factors of 89161 are 1, 163, 547, 89161. There are 4 integers that are factors of 89161. The greatest factor of 89161 is 89161.
3. What are the Factors of 89169?
Answer: Factors of 89169 are 1, 3, 29723, 89169. There are 4 integers that are factors of 89169. The greatest factor of 89169 is 89169.
4. How to Find the LCM of 89161 and 89169?
Answer:
Least Common Multiple of 89161 and 89169 = 7950397209
Step 1: Find the prime factorization of 89161
89161 = 163 x 547
Step 2: Find the prime factorization of 89169
89169 = 3 x 29723
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7950397209 = 3 x 163 x 547 x 29723
Step 4: Therefore, the least common multiple of 89161 and 89169 is 7950397209.