Least Common Multiple of 89167 and 89174
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 89167 and 89174 the smallest integer that is 7951378058 that is divisible by both numbers.
Least Common Multiple (LCM) of 89167 and 89174 is 7951378058.
LCM(89167,89174) = 7951378058
LCM of 89167 and 89174
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 89167 and 89174 by Prime method
- Least Common Multiple of 89167 and 89174 with GCF Formula
LCM of 89167 and 89174 is 7951378058
Least common multiple can be found by multiplying the highest exponent prime factors of 89167 and 89174. First we will calculate the prime factors of 89167 and 89174.
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
Prime Factorization of 89174
| 2 | 89174 |
| 44587 | 44587 |
| 1 |
Prime factors of 89174 are 2,44587. Prime factorization of 89174 in exponential form is:
89174 = 21×445871
Now multiplying the highest exponent prime factors to calculate the LCM of 89167 and 89174.
LCM(89167,89174) = 21×131×193×445871
LCM(89167,89174) = 7951378058
Factors of 89167
List of positive integer factors of 89167 that divides 89167 without a remainder.
1, 13, 19, 247, 361, 4693, 6859, 89167
Factors of 89174
List of positive integer factors of 89174 that divides 89174 without a remainder.
1, 2, 44587, 89174
Least Common Multiple of 89167 and 89174 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89167 and 89174, than apply into the LCM equation.
GCF(89167,89174) = 1
LCM(89167,89174) = ( 89167 × 89174) / 1
LCM(89167,89174) = 7951378058 / 1
LCM(89167,89174) = 7951378058
Properties of LCM 89167 and 89174
(i) The LCM of 89174 and 89167 is associative
LCM of 89167 and 89174 = LCM of 89174 and 89167
Related Least Common Multiples of 89167
Related Least Common Multiples of 89174
Frequently Asked Questions on LCM of 89167 and 89174
1. What is the LCM of 89167 and 89174?
Answer: LCM of 89167 and 89174 is 7951378058.
2. 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.
3. What are the Factors of 89174?
Answer: Factors of 89174 are 1, 2, 44587, 89174. There are 4 integers that are factors of 89174. The greatest factor of 89174 is 89174.
4. How to Find the LCM of 89167 and 89174?
Answer:
Least Common Multiple of 89167 and 89174 = 7951378058
Step 1: Find the prime factorization of 89167
89167 = 13 x 19 x 19 x 19
Step 2: Find the prime factorization of 89174
89174 = 2 x 44587
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7951378058 = 2 x 13 x 19 x 19 x 19 x 44587
Step 4: Therefore, the least common multiple of 89167 and 89174 is 7951378058.