Least Common Multiple of 34164 and 34171
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 34164 and 34171 the smallest integer that is 1167418044 that is divisible by both numbers.
Least Common Multiple (LCM) of 34164 and 34171 is 1167418044.
LCM(34164,34171) = 1167418044
LCM of 34164 and 34171
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 34164 and 34171 by Prime method
- Least Common Multiple of 34164 and 34171 with GCF Formula
LCM of 34164 and 34171 is 1167418044
Least common multiple can be found by multiplying the highest exponent prime factors of 34164 and 34171. First we will calculate the prime factors of 34164 and 34171.
Prime Factorization of 34164
| 2 | 34164 |
| 2 | 17082 |
| 3 | 8541 |
| 3 | 2847 |
| 13 | 949 |
| 73 | 73 |
| 1 |
Prime factors of 34164 are 2, 3, 13,73. Prime factorization of 34164 in exponential form is:
34164 = 22×32×131×731
Prime Factorization of 34171
| 34171 | 34171 |
| 1 |
Prime factors of 34171 are 34171. Prime factorization of 34171 in exponential form is:
34171 = 341711
Now multiplying the highest exponent prime factors to calculate the LCM of 34164 and 34171.
LCM(34164,34171) = 22×32×131×731×341711
LCM(34164,34171) = 1167418044
Factors of 34164
List of positive integer factors of 34164 that divides 34164 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 73, 78, 117, 146, 156, 219, 234, 292, 438, 468, 657, 876, 949, 1314, 1898, 2628, 2847, 3796, 5694, 8541, 11388, 17082, 34164
Factors of 34171
List of positive integer factors of 34171 that divides 34171 without a remainder.
1, 34171
Least Common Multiple of 34164 and 34171 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34164 and 34171, than apply into the LCM equation.
GCF(34164,34171) = 1
LCM(34164,34171) = ( 34164 × 34171) / 1
LCM(34164,34171) = 1167418044 / 1
LCM(34164,34171) = 1167418044
Properties of LCM 34164 and 34171
(i) The LCM of 34171 and 34164 is associative
LCM of 34164 and 34171 = LCM of 34171 and 34164
Related Least Common Multiples of 34164
Related Least Common Multiples of 34171
Frequently Asked Questions on LCM of 34164 and 34171
1. What is the LCM of 34164 and 34171?
Answer: LCM of 34164 and 34171 is 1167418044.
2. What are the Factors of 34164?
Answer: Factors of 34164 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 73, 78, 117, 146, 156, 219, 234, 292, 438, 468, 657, 876, 949, 1314, 1898, 2628, 2847, 3796, 5694, 8541, 11388, 17082, 34164. There are 36 integers that are factors of 34164. The greatest factor of 34164 is 34164.
3. What are the Factors of 34171?
Answer: Factors of 34171 are 1, 34171. There are 2 integers that are factors of 34171. The greatest factor of 34171 is 34171.
4. How to Find the LCM of 34164 and 34171?
Answer:
Least Common Multiple of 34164 and 34171 = 1167418044
Step 1: Find the prime factorization of 34164
34164 = 2 x 2 x 3 x 3 x 13 x 73
Step 2: Find the prime factorization of 34171
34171 = 34171
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1167418044 = 2 x 2 x 3 x 3 x 13 x 73 x 34171
Step 4: Therefore, the least common multiple of 34164 and 34171 is 1167418044.