Least Common Multiple of 15239 and 15246
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15239 and 15246 the smallest integer that is 33190542 that is divisible by both numbers.
Least Common Multiple (LCM) of 15239 and 15246 is 33190542.
LCM(15239,15246) = 33190542
LCM of 15239 and 15246
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15239 and 15246 by Prime method
- Least Common Multiple of 15239 and 15246 with GCF Formula
LCM of 15239 and 15246 is 33190542
Least common multiple can be found by multiplying the highest exponent prime factors of 15239 and 15246. First we will calculate the prime factors of 15239 and 15246.
Prime Factorization of 15239
| 7 | 15239 |
| 7 | 2177 |
| 311 | 311 |
| 1 |
Prime factors of 15239 are 7,311. Prime factorization of 15239 in exponential form is:
15239 = 72×3111
Prime Factorization of 15246
| 2 | 15246 |
| 3 | 7623 |
| 3 | 2541 |
| 7 | 847 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 15246 are 2, 3, 7,11. Prime factorization of 15246 in exponential form is:
15246 = 21×32×71×112
Now multiplying the highest exponent prime factors to calculate the LCM of 15239 and 15246.
LCM(15239,15246) = 21×32×72×112×3111
LCM(15239,15246) = 33190542
Factors of 15239
List of positive integer factors of 15239 that divides 15239 without a remainder.
1, 7, 49, 311, 2177, 15239
Factors of 15246
List of positive integer factors of 15246 that divides 15246 without a remainder.
1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 121, 126, 154, 198, 231, 242, 363, 462, 693, 726, 847, 1089, 1386, 1694, 2178, 2541, 5082, 7623, 15246
Least Common Multiple of 15239 and 15246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15239 and 15246, than apply into the LCM equation.
GCF(15239,15246) = 7
LCM(15239,15246) = ( 15239 × 15246) / 7
LCM(15239,15246) = 232333794 / 7
LCM(15239,15246) = 33190542
Properties of LCM 15239 and 15246
(i) The LCM of 15246 and 15239 is associative
LCM of 15239 and 15246 = LCM of 15246 and 15239
Related Least Common Multiples of 15239
Related Least Common Multiples of 15246
Frequently Asked Questions on LCM of 15239 and 15246
1. What is the LCM of 15239 and 15246?
Answer: LCM of 15239 and 15246 is 33190542.
2. What are the Factors of 15239?
Answer: Factors of 15239 are 1, 7, 49, 311, 2177, 15239. There are 6 integers that are factors of 15239. The greatest factor of 15239 is 15239.
3. What are the Factors of 15246?
Answer: Factors of 15246 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 121, 126, 154, 198, 231, 242, 363, 462, 693, 726, 847, 1089, 1386, 1694, 2178, 2541, 5082, 7623, 15246. There are 36 integers that are factors of 15246. The greatest factor of 15246 is 15246.
4. How to Find the LCM of 15239 and 15246?
Answer:
Least Common Multiple of 15239 and 15246 = 33190542
Step 1: Find the prime factorization of 15239
15239 = 7 x 7 x 311
Step 2: Find the prime factorization of 15246
15246 = 2 x 3 x 3 x 7 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33190542 = 2 x 3 x 3 x 7 x 7 x 11 x 11 x 311
Step 4: Therefore, the least common multiple of 15239 and 15246 is 33190542.