Least Common Multiple of 89169 and 89177
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 89169 and 89177 the smallest integer that is 7951823913 that is divisible by both numbers.
Least Common Multiple (LCM) of 89169 and 89177 is 7951823913.
LCM(89169,89177) = 7951823913
LCM of 89169 and 89177
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 89169 and 89177 by Prime method
- Least Common Multiple of 89169 and 89177 with GCF Formula
LCM of 89169 and 89177 is 7951823913
Least common multiple can be found by multiplying the highest exponent prime factors of 89169 and 89177. First we will calculate the prime factors of 89169 and 89177.
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
Prime Factorization of 89177
| 11 | 89177 |
| 11 | 8107 |
| 11 | 737 |
| 67 | 67 |
| 1 |
Prime factors of 89177 are 11,67. Prime factorization of 89177 in exponential form is:
89177 = 113×671
Now multiplying the highest exponent prime factors to calculate the LCM of 89169 and 89177.
LCM(89169,89177) = 31×113×671×297231
LCM(89169,89177) = 7951823913
Factors of 89169
List of positive integer factors of 89169 that divides 89169 without a remainder.
1, 3, 29723, 89169
Factors of 89177
List of positive integer factors of 89177 that divides 89177 without a remainder.
1, 11, 67, 121, 737, 1331, 8107, 89177
Least Common Multiple of 89169 and 89177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89169 and 89177, than apply into the LCM equation.
GCF(89169,89177) = 1
LCM(89169,89177) = ( 89169 × 89177) / 1
LCM(89169,89177) = 7951823913 / 1
LCM(89169,89177) = 7951823913
Properties of LCM 89169 and 89177
(i) The LCM of 89177 and 89169 is associative
LCM of 89169 and 89177 = LCM of 89177 and 89169
Related Least Common Multiples of 89169
Related Least Common Multiples of 89177
Frequently Asked Questions on LCM of 89169 and 89177
1. What is the LCM of 89169 and 89177?
Answer: LCM of 89169 and 89177 is 7951823913.
2. 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.
3. What are the Factors of 89177?
Answer: Factors of 89177 are 1, 11, 67, 121, 737, 1331, 8107, 89177. There are 8 integers that are factors of 89177. The greatest factor of 89177 is 89177.
4. How to Find the LCM of 89169 and 89177?
Answer:
Least Common Multiple of 89169 and 89177 = 7951823913
Step 1: Find the prime factorization of 89169
89169 = 3 x 29723
Step 2: Find the prime factorization of 89177
89177 = 11 x 11 x 11 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7951823913 = 3 x 11 x 11 x 11 x 67 x 29723
Step 4: Therefore, the least common multiple of 89169 and 89177 is 7951823913.