Least Common Multiple of 15246 and 15251
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15246 and 15251 the smallest integer that is 232516746 that is divisible by both numbers.
Least Common Multiple (LCM) of 15246 and 15251 is 232516746.
LCM(15246,15251) = 232516746
LCM of 15246 and 15251
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15246 and 15251 by Prime method
- Least Common Multiple of 15246 and 15251 with GCF Formula
LCM of 15246 and 15251 is 232516746
Least common multiple can be found by multiplying the highest exponent prime factors of 15246 and 15251. First we will calculate the prime factors of 15246 and 15251.
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
Prime Factorization of 15251
| 101 | 15251 |
| 151 | 151 |
| 1 |
Prime factors of 15251 are 101,151. Prime factorization of 15251 in exponential form is:
15251 = 1011×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 15246 and 15251.
LCM(15246,15251) = 21×32×71×112×1011×1511
LCM(15246,15251) = 232516746
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
Factors of 15251
List of positive integer factors of 15251 that divides 15251 without a remainder.
1, 101, 151, 15251
Least Common Multiple of 15246 and 15251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15246 and 15251, than apply into the LCM equation.
GCF(15246,15251) = 1
LCM(15246,15251) = ( 15246 × 15251) / 1
LCM(15246,15251) = 232516746 / 1
LCM(15246,15251) = 232516746
Properties of LCM 15246 and 15251
(i) The LCM of 15251 and 15246 is associative
LCM of 15246 and 15251 = LCM of 15251 and 15246
Related Least Common Multiples of 15246
Related Least Common Multiples of 15251
Frequently Asked Questions on LCM of 15246 and 15251
1. What is the LCM of 15246 and 15251?
Answer: LCM of 15246 and 15251 is 232516746.
2. 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.
3. What are the Factors of 15251?
Answer: Factors of 15251 are 1, 101, 151, 15251. There are 4 integers that are factors of 15251. The greatest factor of 15251 is 15251.
4. How to Find the LCM of 15246 and 15251?
Answer:
Least Common Multiple of 15246 and 15251 = 232516746
Step 1: Find the prime factorization of 15246
15246 = 2 x 3 x 3 x 7 x 11 x 11
Step 2: Find the prime factorization of 15251
15251 = 101 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 232516746 = 2 x 3 x 3 x 7 x 11 x 11 x 101 x 151
Step 4: Therefore, the least common multiple of 15246 and 15251 is 232516746.