Least Common Multiple of 89113 and 89117
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 89113 and 89117 the smallest integer that is 7941483221 that is divisible by both numbers.
Least Common Multiple (LCM) of 89113 and 89117 is 7941483221.
LCM(89113,89117) = 7941483221
LCM of 89113 and 89117
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 89113 and 89117 by Prime method
- Least Common Multiple of 89113 and 89117 with GCF Formula
LCM of 89113 and 89117 is 7941483221
Least common multiple can be found by multiplying the highest exponent prime factors of 89113 and 89117. First we will calculate the prime factors of 89113 and 89117.
Prime Factorization of 89113
| 89113 | 89113 |
| 1 |
Prime factors of 89113 are 89113. Prime factorization of 89113 in exponential form is:
89113 = 891131
Prime Factorization of 89117
| 7 | 89117 |
| 29 | 12731 |
| 439 | 439 |
| 1 |
Prime factors of 89117 are 7, 29,439. Prime factorization of 89117 in exponential form is:
89117 = 71×291×4391
Now multiplying the highest exponent prime factors to calculate the LCM of 89113 and 89117.
LCM(89113,89117) = 71×291×4391×891131
LCM(89113,89117) = 7941483221
Factors of 89113
List of positive integer factors of 89113 that divides 89113 without a remainder.
1, 89113
Factors of 89117
List of positive integer factors of 89117 that divides 89117 without a remainder.
1, 7, 29, 203, 439, 3073, 12731, 89117
Least Common Multiple of 89113 and 89117 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89113 and 89117, than apply into the LCM equation.
GCF(89113,89117) = 1
LCM(89113,89117) = ( 89113 × 89117) / 1
LCM(89113,89117) = 7941483221 / 1
LCM(89113,89117) = 7941483221
Properties of LCM 89113 and 89117
(i) The LCM of 89117 and 89113 is associative
LCM of 89113 and 89117 = LCM of 89117 and 89113
Related Least Common Multiples of 89113
Related Least Common Multiples of 89117
Frequently Asked Questions on LCM of 89113 and 89117
1. What is the LCM of 89113 and 89117?
Answer: LCM of 89113 and 89117 is 7941483221.
2. What are the Factors of 89113?
Answer: Factors of 89113 are 1, 89113. There are 2 integers that are factors of 89113. The greatest factor of 89113 is 89113.
3. What are the Factors of 89117?
Answer: Factors of 89117 are 1, 7, 29, 203, 439, 3073, 12731, 89117. There are 8 integers that are factors of 89117. The greatest factor of 89117 is 89117.
4. How to Find the LCM of 89113 and 89117?
Answer:
Least Common Multiple of 89113 and 89117 = 7941483221
Step 1: Find the prime factorization of 89113
89113 = 89113
Step 2: Find the prime factorization of 89117
89117 = 7 x 29 x 439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7941483221 = 7 x 29 x 439 x 89113
Step 4: Therefore, the least common multiple of 89113 and 89117 is 7941483221.