Least Common Multiple of 89159 and 89167
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 89159 and 89167 the smallest integer that is 7950040553 that is divisible by both numbers.
Least Common Multiple (LCM) of 89159 and 89167 is 7950040553.
LCM(89159,89167) = 7950040553
LCM of 89159 and 89167
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 89159 and 89167 by Prime method
- Least Common Multiple of 89159 and 89167 with GCF Formula
LCM of 89159 and 89167 is 7950040553
Least common multiple can be found by multiplying the highest exponent prime factors of 89159 and 89167. First we will calculate the prime factors of 89159 and 89167.
Prime Factorization of 89159
| 7 | 89159 |
| 47 | 12737 |
| 271 | 271 |
| 1 |
Prime factors of 89159 are 7, 47,271. Prime factorization of 89159 in exponential form is:
89159 = 71×471×2711
Prime Factorization of 89167
| 13 | 89167 |
| 19 | 6859 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 89167 are 13,19. Prime factorization of 89167 in exponential form is:
89167 = 131×193
Now multiplying the highest exponent prime factors to calculate the LCM of 89159 and 89167.
LCM(89159,89167) = 71×131×193×471×2711
LCM(89159,89167) = 7950040553
Factors of 89159
List of positive integer factors of 89159 that divides 89159 without a remainder.
1, 7, 47, 271, 329, 1897, 12737, 89159
Factors of 89167
List of positive integer factors of 89167 that divides 89167 without a remainder.
1, 13, 19, 247, 361, 4693, 6859, 89167
Least Common Multiple of 89159 and 89167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89159 and 89167, than apply into the LCM equation.
GCF(89159,89167) = 1
LCM(89159,89167) = ( 89159 × 89167) / 1
LCM(89159,89167) = 7950040553 / 1
LCM(89159,89167) = 7950040553
Properties of LCM 89159 and 89167
(i) The LCM of 89167 and 89159 is associative
LCM of 89159 and 89167 = LCM of 89167 and 89159
Related Least Common Multiples of 89159
Related Least Common Multiples of 89167
Frequently Asked Questions on LCM of 89159 and 89167
1. What is the LCM of 89159 and 89167?
Answer: LCM of 89159 and 89167 is 7950040553.
2. What are the Factors of 89159?
Answer: Factors of 89159 are 1, 7, 47, 271, 329, 1897, 12737, 89159. There are 8 integers that are factors of 89159. The greatest factor of 89159 is 89159.
3. What are the Factors of 89167?
Answer: Factors of 89167 are 1, 13, 19, 247, 361, 4693, 6859, 89167. There are 8 integers that are factors of 89167. The greatest factor of 89167 is 89167.
4. How to Find the LCM of 89159 and 89167?
Answer:
Least Common Multiple of 89159 and 89167 = 7950040553
Step 1: Find the prime factorization of 89159
89159 = 7 x 47 x 271
Step 2: Find the prime factorization of 89167
89167 = 13 x 19 x 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7950040553 = 7 x 13 x 19 x 19 x 19 x 47 x 271
Step 4: Therefore, the least common multiple of 89159 and 89167 is 7950040553.