Least Common Multiple of 173 and 174
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 173 and 174 the smallest integer that is 30102 that is divisible by both numbers.
Least Common Multiple (LCM) of 173 and 174 is 30102.
LCM(173,174) = 30102
LCM of 173 and 174
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 173 and 174 by Prime method
- Least Common Multiple of 173 and 174 with GCF Formula
LCM of 173 and 174 is 30102
Least common multiple can be found by multiplying the highest exponent prime factors of 173 and 174. First we will calculate the prime factors of 173 and 174.
Prime Factorization of 173
| 173 | 173 |
| 1 |
Prime factors of 173 are 173. Prime factorization of 173 in exponential form is:
173 = 1731
Prime Factorization of 174
| 2 | 174 |
| 3 | 87 |
| 29 | 29 |
| 1 |
Prime factors of 174 are 2, 3,29. Prime factorization of 174 in exponential form is:
174 = 21×31×291
Now multiplying the highest exponent prime factors to calculate the LCM of 173 and 174.
LCM(173,174) = 21×31×291×1731
LCM(173,174) = 30102
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1, 173
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Least Common Multiple of 173 and 174 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 173 and 174, than apply into the LCM equation.
GCF(173,174) = 1
LCM(173,174) = ( 173 × 174) / 1
LCM(173,174) = 30102 / 1
LCM(173,174) = 30102
Properties of LCM 173 and 174
(i) The LCM of 174 and 173 is associative
LCM of 173 and 174 = LCM of 174 and 173
Related Least Common Multiples of 173
Related Least Common Multiples of 174
Frequently Asked Questions on LCM of 173 and 174
1. What is the LCM of 173 and 174?
Answer: LCM of 173 and 174 is 30102.
2. What are the Factors of 173?
Answer: Factors of 173 are 1, 173. There are 2 integers that are factors of 173. The greatest factor of 173 is 173.
3. What are the Factors of 174?
Answer: Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174. There are 8 integers that are factors of 174. The greatest factor of 174 is 174.
4. How to Find the LCM of 173 and 174?
Answer:
Least Common Multiple of 173 and 174 = 30102
Step 1: Find the prime factorization of 173
173 = 173
Step 2: Find the prime factorization of 174
174 = 2 x 3 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30102 = 2 x 3 x 29 x 173
Step 4: Therefore, the least common multiple of 173 and 174 is 30102.
