Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8250 and 8254 the smallest integer that is 34047750 that is divisible by both numbers.
Least Common Multiple (LCM) of 8250 and 8254 is 34047750.
LCM(8250,8254) = 34047750
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 8250 and 8254. First we will calculate the prime factors of 8250 and 8254.
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
Prime Factorization of 8254
2 | 8254 |
4127 | 4127 |
1 |
Prime factors of 8254 are 2,4127. Prime factorization of 8254 in exponential form is:
8254 = 21×41271
Now multiplying the highest exponent prime factors to calculate the LCM of 8250 and 8254.
LCM(8250,8254) = 21×31×53×111×41271
LCM(8250,8254) = 34047750
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
Factors of 8254
List of positive integer factors of 8254 that divides 8254 without a remainder.
1, 2, 4127, 8254
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8250 and 8254, than apply into the LCM equation.
GCF(8250,8254) = 2
LCM(8250,8254) = ( 8250 × 8254) / 2
LCM(8250,8254) = 68095500 / 2
LCM(8250,8254) = 34047750
(i) The LCM of 8254 and 8250 is associative
LCM of 8250 and 8254 = LCM of 8254 and 8250
1. What is the LCM of 8250 and 8254?
Answer: LCM of 8250 and 8254 is 34047750.
2. 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.
3. What are the Factors of 8254?
Answer: Factors of 8254 are 1, 2, 4127, 8254. There are 4 integers that are factors of 8254. The greatest factor of 8254 is 8254.
4. How to Find the LCM of 8250 and 8254?
Answer:
Least Common Multiple of 8250 and 8254 = 34047750
Step 1: Find the prime factorization of 8250
8250 = 2 x 3 x 5 x 5 x 5 x 11
Step 2: Find the prime factorization of 8254
8254 = 2 x 4127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34047750 = 2 x 3 x 5 x 5 x 5 x 11 x 4127
Step 4: Therefore, the least common multiple of 8250 and 8254 is 34047750.