Least Common Multiple of 15241 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 15241 and 15246 the smallest integer that is 232364286 that is divisible by both numbers.
Least Common Multiple (LCM) of 15241 and 15246 is 232364286.
LCM(15241,15246) = 232364286
LCM of 15241 and 15246
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15241 and 15246 by Prime method
- Least Common Multiple of 15241 and 15246 with GCF Formula
LCM of 15241 and 15246 is 232364286
Least common multiple can be found by multiplying the highest exponent prime factors of 15241 and 15246. First we will calculate the prime factors of 15241 and 15246.
Prime Factorization of 15241
| 15241 | 15241 |
| 1 |
Prime factors of 15241 are 15241. Prime factorization of 15241 in exponential form is:
15241 = 152411
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 15241 and 15246.
LCM(15241,15246) = 21×32×71×112×152411
LCM(15241,15246) = 232364286
Factors of 15241
List of positive integer factors of 15241 that divides 15241 without a remainder.
1, 15241
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 15241 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 15241 and 15246, than apply into the LCM equation.
GCF(15241,15246) = 1
LCM(15241,15246) = ( 15241 × 15246) / 1
LCM(15241,15246) = 232364286 / 1
LCM(15241,15246) = 232364286
Properties of LCM 15241 and 15246
(i) The LCM of 15246 and 15241 is associative
LCM of 15241 and 15246 = LCM of 15246 and 15241
Related Least Common Multiples of 15241
Related Least Common Multiples of 15246
Frequently Asked Questions on LCM of 15241 and 15246
1. What is the LCM of 15241 and 15246?
Answer: LCM of 15241 and 15246 is 232364286.
2. What are the Factors of 15241?
Answer: Factors of 15241 are 1, 15241. There are 2 integers that are factors of 15241. The greatest factor of 15241 is 15241.
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 15241 and 15246?
Answer:
Least Common Multiple of 15241 and 15246 = 232364286
Step 1: Find the prime factorization of 15241
15241 = 15241
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 = 232364286 = 2 x 3 x 3 x 7 x 11 x 11 x 15241
Step 4: Therefore, the least common multiple of 15241 and 15246 is 232364286.