Least Common Multiple of 15274 and 15281
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15274 and 15281 the smallest integer that is 33343142 that is divisible by both numbers.
Least Common Multiple (LCM) of 15274 and 15281 is 33343142.
LCM(15274,15281) = 33343142
LCM of 15274 and 15281
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15274 and 15281 by Prime method
- Least Common Multiple of 15274 and 15281 with GCF Formula
LCM of 15274 and 15281 is 33343142
Least common multiple can be found by multiplying the highest exponent prime factors of 15274 and 15281. First we will calculate the prime factors of 15274 and 15281.
Prime Factorization of 15274
| 2 | 15274 |
| 7 | 7637 |
| 1091 | 1091 |
| 1 |
Prime factors of 15274 are 2, 7,1091. Prime factorization of 15274 in exponential form is:
15274 = 21×71×10911
Prime Factorization of 15281
| 7 | 15281 |
| 37 | 2183 |
| 59 | 59 |
| 1 |
Prime factors of 15281 are 7, 37,59. Prime factorization of 15281 in exponential form is:
15281 = 71×371×591
Now multiplying the highest exponent prime factors to calculate the LCM of 15274 and 15281.
LCM(15274,15281) = 21×71×371×591×10911
LCM(15274,15281) = 33343142
Factors of 15274
List of positive integer factors of 15274 that divides 15274 without a remainder.
1, 2, 7, 14, 1091, 2182, 7637, 15274
Factors of 15281
List of positive integer factors of 15281 that divides 15281 without a remainder.
1, 7, 37, 59, 259, 413, 2183, 15281
Least Common Multiple of 15274 and 15281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15274 and 15281, than apply into the LCM equation.
GCF(15274,15281) = 7
LCM(15274,15281) = ( 15274 × 15281) / 7
LCM(15274,15281) = 233401994 / 7
LCM(15274,15281) = 33343142
Properties of LCM 15274 and 15281
(i) The LCM of 15281 and 15274 is associative
LCM of 15274 and 15281 = LCM of 15281 and 15274
Related Least Common Multiples of 15274
Related Least Common Multiples of 15281
Frequently Asked Questions on LCM of 15274 and 15281
1. What is the LCM of 15274 and 15281?
Answer: LCM of 15274 and 15281 is 33343142.
2. What are the Factors of 15274?
Answer: Factors of 15274 are 1, 2, 7, 14, 1091, 2182, 7637, 15274. There are 8 integers that are factors of 15274. The greatest factor of 15274 is 15274.
3. What are the Factors of 15281?
Answer: Factors of 15281 are 1, 7, 37, 59, 259, 413, 2183, 15281. There are 8 integers that are factors of 15281. The greatest factor of 15281 is 15281.
4. How to Find the LCM of 15274 and 15281?
Answer:
Least Common Multiple of 15274 and 15281 = 33343142
Step 1: Find the prime factorization of 15274
15274 = 2 x 7 x 1091
Step 2: Find the prime factorization of 15281
15281 = 7 x 37 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33343142 = 2 x 7 x 37 x 59 x 1091
Step 4: Therefore, the least common multiple of 15274 and 15281 is 33343142.