Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8246 and 8250 the smallest integer that is 34014750 that is divisible by both numbers.
Least Common Multiple (LCM) of 8246 and 8250 is 34014750.
LCM(8246,8250) = 34014750
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8246 and 8250. First we will calculate the prime factors of 8246 and 8250.
Prime Factorization of 8246
2 | 8246 |
7 | 4123 |
19 | 589 |
31 | 31 |
1 |
Prime factors of 8246 are 2, 7, 19,31. Prime factorization of 8246 in exponential form is:
8246 = 21×71×191×311
Prime Factorization of 8250
2 | 8250 |
3 | 4125 |
5 | 1375 |
5 | 275 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 8250 are 2, 3, 5,11. Prime factorization of 8250 in exponential form is:
8250 = 21×31×53×111
Now multiplying the highest exponent prime factors to calculate the LCM of 8246 and 8250.
LCM(8246,8250) = 21×31×53×71×111×191×311
LCM(8246,8250) = 34014750
Factors of 8246
List of positive integer factors of 8246 that divides 8246 without a remainder.
1, 2, 7, 14, 19, 31, 38, 62, 133, 217, 266, 434, 589, 1178, 4123, 8246
Factors of 8250
List of positive integer factors of 8250 that divides 8250 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8246 and 8250, than apply into the LCM equation.
GCF(8246,8250) = 2
LCM(8246,8250) = ( 8246 × 8250) / 2
LCM(8246,8250) = 68029500 / 2
LCM(8246,8250) = 34014750
(i) The LCM of 8250 and 8246 is associative
LCM of 8246 and 8250 = LCM of 8250 and 8246
1. What is the LCM of 8246 and 8250?
Answer: LCM of 8246 and 8250 is 34014750.
2. What are the Factors of 8246?
Answer: Factors of 8246 are 1, 2, 7, 14, 19, 31, 38, 62, 133, 217, 266, 434, 589, 1178, 4123, 8246. There are 16 integers that are factors of 8246. The greatest factor of 8246 is 8246.
3. What are the Factors of 8250?
Answer: Factors of 8250 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250. There are 32 integers that are factors of 8250. The greatest factor of 8250 is 8250.
4. How to Find the LCM of 8246 and 8250?
Answer:
Least Common Multiple of 8246 and 8250 = 34014750
Step 1: Find the prime factorization of 8246
8246 = 2 x 7 x 19 x 31
Step 2: Find the prime factorization of 8250
8250 = 2 x 3 x 5 x 5 x 5 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 = 34014750 = 2 x 3 x 5 x 5 x 5 x 7 x 11 x 19 x 31
Step 4: Therefore, the least common multiple of 8246 and 8250 is 34014750.