Least Common Multiple of 89177 and 89185
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 89177 and 89185 the smallest integer that is 7953250745 that is divisible by both numbers.
Least Common Multiple (LCM) of 89177 and 89185 is 7953250745.
LCM(89177,89185) = 7953250745
LCM of 89177 and 89185
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 89177 and 89185 by Prime method
- Least Common Multiple of 89177 and 89185 with GCF Formula
LCM of 89177 and 89185 is 7953250745
Least common multiple can be found by multiplying the highest exponent prime factors of 89177 and 89185. First we will calculate the prime factors of 89177 and 89185.
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
Prime Factorization of 89185
| 5 | 89185 |
| 17837 | 17837 |
| 1 |
Prime factors of 89185 are 5,17837. Prime factorization of 89185 in exponential form is:
89185 = 51×178371
Now multiplying the highest exponent prime factors to calculate the LCM of 89177 and 89185.
LCM(89177,89185) = 51×113×671×178371
LCM(89177,89185) = 7953250745
Factors of 89177
List of positive integer factors of 89177 that divides 89177 without a remainder.
1, 11, 67, 121, 737, 1331, 8107, 89177
Factors of 89185
List of positive integer factors of 89185 that divides 89185 without a remainder.
1, 5, 17837, 89185
Least Common Multiple of 89177 and 89185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89177 and 89185, than apply into the LCM equation.
GCF(89177,89185) = 1
LCM(89177,89185) = ( 89177 × 89185) / 1
LCM(89177,89185) = 7953250745 / 1
LCM(89177,89185) = 7953250745
Properties of LCM 89177 and 89185
(i) The LCM of 89185 and 89177 is associative
LCM of 89177 and 89185 = LCM of 89185 and 89177
Related Least Common Multiples of 89177
Related Least Common Multiples of 89185
Frequently Asked Questions on LCM of 89177 and 89185
1. What is the LCM of 89177 and 89185?
Answer: LCM of 89177 and 89185 is 7953250745.
2. 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.
3. What are the Factors of 89185?
Answer: Factors of 89185 are 1, 5, 17837, 89185. There are 4 integers that are factors of 89185. The greatest factor of 89185 is 89185.
4. How to Find the LCM of 89177 and 89185?
Answer:
Least Common Multiple of 89177 and 89185 = 7953250745
Step 1: Find the prime factorization of 89177
89177 = 11 x 11 x 11 x 67
Step 2: Find the prime factorization of 89185
89185 = 5 x 17837
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7953250745 = 5 x 11 x 11 x 11 x 67 x 17837
Step 4: Therefore, the least common multiple of 89177 and 89185 is 7953250745.