Least Common Multiple of 34251 and 34258
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 34251 and 34258 the smallest integer that is 167624394 that is divisible by both numbers.
Least Common Multiple (LCM) of 34251 and 34258 is 167624394.
LCM(34251,34258) = 167624394
LCM of 34251 and 34258
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 34251 and 34258 by Prime method
- Least Common Multiple of 34251 and 34258 with GCF Formula
LCM of 34251 and 34258 is 167624394
Least common multiple can be found by multiplying the highest exponent prime factors of 34251 and 34258. First we will calculate the prime factors of 34251 and 34258.
Prime Factorization of 34251
| 3 | 34251 |
| 7 | 11417 |
| 7 | 1631 |
| 233 | 233 |
| 1 |
Prime factors of 34251 are 3, 7,233. Prime factorization of 34251 in exponential form is:
34251 = 31×72×2331
Prime Factorization of 34258
| 2 | 34258 |
| 7 | 17129 |
| 2447 | 2447 |
| 1 |
Prime factors of 34258 are 2, 7,2447. Prime factorization of 34258 in exponential form is:
34258 = 21×71×24471
Now multiplying the highest exponent prime factors to calculate the LCM of 34251 and 34258.
LCM(34251,34258) = 21×31×72×2331×24471
LCM(34251,34258) = 167624394
Factors of 34251
List of positive integer factors of 34251 that divides 34251 without a remainder.
1, 3, 7, 21, 49, 147, 233, 699, 1631, 4893, 11417, 34251
Factors of 34258
List of positive integer factors of 34258 that divides 34258 without a remainder.
1, 2, 7, 14, 2447, 4894, 17129, 34258
Least Common Multiple of 34251 and 34258 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34251 and 34258, than apply into the LCM equation.
GCF(34251,34258) = 7
LCM(34251,34258) = ( 34251 × 34258) / 7
LCM(34251,34258) = 1173370758 / 7
LCM(34251,34258) = 167624394
Properties of LCM 34251 and 34258
(i) The LCM of 34258 and 34251 is associative
LCM of 34251 and 34258 = LCM of 34258 and 34251
Related Least Common Multiples of 34251
Related Least Common Multiples of 34258
Frequently Asked Questions on LCM of 34251 and 34258
1. What is the LCM of 34251 and 34258?
Answer: LCM of 34251 and 34258 is 167624394.
2. What are the Factors of 34251?
Answer: Factors of 34251 are 1, 3, 7, 21, 49, 147, 233, 699, 1631, 4893, 11417, 34251. There are 12 integers that are factors of 34251. The greatest factor of 34251 is 34251.
3. What are the Factors of 34258?
Answer: Factors of 34258 are 1, 2, 7, 14, 2447, 4894, 17129, 34258. There are 8 integers that are factors of 34258. The greatest factor of 34258 is 34258.
4. How to Find the LCM of 34251 and 34258?
Answer:
Least Common Multiple of 34251 and 34258 = 167624394
Step 1: Find the prime factorization of 34251
34251 = 3 x 7 x 7 x 233
Step 2: Find the prime factorization of 34258
34258 = 2 x 7 x 2447
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 167624394 = 2 x 3 x 7 x 7 x 233 x 2447
Step 4: Therefore, the least common multiple of 34251 and 34258 is 167624394.