Least Common Multiple of 89129 and 89137
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 89129 and 89137 the smallest integer that is 7944691673 that is divisible by both numbers.
Least Common Multiple (LCM) of 89129 and 89137 is 7944691673.
LCM(89129,89137) = 7944691673
LCM of 89129 and 89137
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 89129 and 89137 by Prime method
- Least Common Multiple of 89129 and 89137 with GCF Formula
LCM of 89129 and 89137 is 7944691673
Least common multiple can be found by multiplying the highest exponent prime factors of 89129 and 89137. First we will calculate the prime factors of 89129 and 89137.
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
Prime Factorization of 89137
| 89137 | 89137 |
| 1 |
Prime factors of 89137 are 89137. Prime factorization of 89137 in exponential form is:
89137 = 891371
Now multiplying the highest exponent prime factors to calculate the LCM of 89129 and 89137.
LCM(89129,89137) = 191×46911×891371
LCM(89129,89137) = 7944691673
Factors of 89129
List of positive integer factors of 89129 that divides 89129 without a remainder.
1, 19, 4691, 89129
Factors of 89137
List of positive integer factors of 89137 that divides 89137 without a remainder.
1, 89137
Least Common Multiple of 89129 and 89137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89129 and 89137, than apply into the LCM equation.
GCF(89129,89137) = 1
LCM(89129,89137) = ( 89129 × 89137) / 1
LCM(89129,89137) = 7944691673 / 1
LCM(89129,89137) = 7944691673
Properties of LCM 89129 and 89137
(i) The LCM of 89137 and 89129 is associative
LCM of 89129 and 89137 = LCM of 89137 and 89129
Related Least Common Multiples of 89129
Related Least Common Multiples of 89137
Frequently Asked Questions on LCM of 89129 and 89137
1. What is the LCM of 89129 and 89137?
Answer: LCM of 89129 and 89137 is 7944691673.
2. 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.
3. What are the Factors of 89137?
Answer: Factors of 89137 are 1, 89137. There are 2 integers that are factors of 89137. The greatest factor of 89137 is 89137.
4. How to Find the LCM of 89129 and 89137?
Answer:
Least Common Multiple of 89129 and 89137 = 7944691673
Step 1: Find the prime factorization of 89129
89129 = 19 x 4691
Step 2: Find the prime factorization of 89137
89137 = 89137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7944691673 = 19 x 4691 x 89137
Step 4: Therefore, the least common multiple of 89129 and 89137 is 7944691673.