Least Common Multiple of 89125 and 89129
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 89125 and 89129 the smallest integer that is 7943622125 that is divisible by both numbers.
Least Common Multiple (LCM) of 89125 and 89129 is 7943622125.
LCM(89125,89129) = 7943622125
LCM of 89125 and 89129
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 89125 and 89129 by Prime method
- Least Common Multiple of 89125 and 89129 with GCF Formula
LCM of 89125 and 89129 is 7943622125
Least common multiple can be found by multiplying the highest exponent prime factors of 89125 and 89129. First we will calculate the prime factors of 89125 and 89129.
Prime Factorization of 89125
| 5 | 89125 |
| 5 | 17825 |
| 5 | 3565 |
| 23 | 713 |
| 31 | 31 |
| 1 |
Prime factors of 89125 are 5, 23,31. Prime factorization of 89125 in exponential form is:
89125 = 53×231×311
Prime Factorization of 89129
| 19 | 89129 |
| 4691 | 4691 |
| 1 |
Prime factors of 89129 are 19,4691. Prime factorization of 89129 in exponential form is:
89129 = 191×46911
Now multiplying the highest exponent prime factors to calculate the LCM of 89125 and 89129.
LCM(89125,89129) = 53×191×231×311×46911
LCM(89125,89129) = 7943622125
Factors of 89125
List of positive integer factors of 89125 that divides 89125 without a remainder.
1, 5, 23, 25, 31, 115, 125, 155, 575, 713, 775, 2875, 3565, 3875, 17825, 89125
Factors of 89129
List of positive integer factors of 89129 that divides 89129 without a remainder.
1, 19, 4691, 89129
Least Common Multiple of 89125 and 89129 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89125 and 89129, than apply into the LCM equation.
GCF(89125,89129) = 1
LCM(89125,89129) = ( 89125 × 89129) / 1
LCM(89125,89129) = 7943622125 / 1
LCM(89125,89129) = 7943622125
Properties of LCM 89125 and 89129
(i) The LCM of 89129 and 89125 is associative
LCM of 89125 and 89129 = LCM of 89129 and 89125
Related Least Common Multiples of 89125
Related Least Common Multiples of 89129
Frequently Asked Questions on LCM of 89125 and 89129
1. What is the LCM of 89125 and 89129?
Answer: LCM of 89125 and 89129 is 7943622125.
2. What are the Factors of 89125?
Answer: Factors of 89125 are 1, 5, 23, 25, 31, 115, 125, 155, 575, 713, 775, 2875, 3565, 3875, 17825, 89125. There are 16 integers that are factors of 89125. The greatest factor of 89125 is 89125.
3. What are the Factors of 89129?
Answer: Factors of 89129 are 1, 19, 4691, 89129. There are 4 integers that are factors of 89129. The greatest factor of 89129 is 89129.
4. How to Find the LCM of 89125 and 89129?
Answer:
Least Common Multiple of 89125 and 89129 = 7943622125
Step 1: Find the prime factorization of 89125
89125 = 5 x 5 x 5 x 23 x 31
Step 2: Find the prime factorization of 89129
89129 = 19 x 4691
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7943622125 = 5 x 5 x 5 x 19 x 23 x 31 x 4691
Step 4: Therefore, the least common multiple of 89125 and 89129 is 7943622125.