Least Common Multiple of 8174 and 8179
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8174 and 8179 the smallest integer that is 66855146 that is divisible by both numbers.
Least Common Multiple (LCM) of 8174 and 8179 is 66855146.
LCM(8174,8179) = 66855146
LCM of 8174 and 8179
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8174 and 8179 by Prime method
- Least Common Multiple of 8174 and 8179 with GCF Formula
LCM of 8174 and 8179 is 66855146
Least common multiple can be found by multiplying the highest exponent prime factors of 8174 and 8179. First we will calculate the prime factors of 8174 and 8179.
Prime Factorization of 8174
| 2 | 8174 |
| 61 | 4087 |
| 67 | 67 |
| 1 |
Prime factors of 8174 are 2, 61,67. Prime factorization of 8174 in exponential form is:
8174 = 21×611×671
Prime Factorization of 8179
| 8179 | 8179 |
| 1 |
Prime factors of 8179 are 8179. Prime factorization of 8179 in exponential form is:
8179 = 81791
Now multiplying the highest exponent prime factors to calculate the LCM of 8174 and 8179.
LCM(8174,8179) = 21×611×671×81791
LCM(8174,8179) = 66855146
Factors of 8174
List of positive integer factors of 8174 that divides 8174 without a remainder.
1, 2, 61, 67, 122, 134, 4087, 8174
Factors of 8179
List of positive integer factors of 8179 that divides 8179 without a remainder.
1, 8179
Least Common Multiple of 8174 and 8179 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8174 and 8179, than apply into the LCM equation.
GCF(8174,8179) = 1
LCM(8174,8179) = ( 8174 × 8179) / 1
LCM(8174,8179) = 66855146 / 1
LCM(8174,8179) = 66855146
Properties of LCM 8174 and 8179
(i) The LCM of 8179 and 8174 is associative
LCM of 8174 and 8179 = LCM of 8179 and 8174
Related Least Common Multiples of 8174
Related Least Common Multiples of 8179
Frequently Asked Questions on LCM of 8174 and 8179
1. What is the LCM of 8174 and 8179?
Answer: LCM of 8174 and 8179 is 66855146.
2. What are the Factors of 8174?
Answer: Factors of 8174 are 1, 2, 61, 67, 122, 134, 4087, 8174. There are 8 integers that are factors of 8174. The greatest factor of 8174 is 8174.
3. What are the Factors of 8179?
Answer: Factors of 8179 are 1, 8179. There are 2 integers that are factors of 8179. The greatest factor of 8179 is 8179.
4. How to Find the LCM of 8174 and 8179?
Answer:
Least Common Multiple of 8174 and 8179 = 66855146
Step 1: Find the prime factorization of 8174
8174 = 2 x 61 x 67
Step 2: Find the prime factorization of 8179
8179 = 8179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66855146 = 2 x 61 x 67 x 8179
Step 4: Therefore, the least common multiple of 8174 and 8179 is 66855146.