Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8273 and 8275 the smallest integer that is 68459075 that is divisible by both numbers.
Least Common Multiple (LCM) of 8273 and 8275 is 68459075.
LCM(8273,8275) = 68459075
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 8273 and 8275. First we will calculate the prime factors of 8273 and 8275.
Prime Factorization of 8273
8273 | 8273 |
1 |
Prime factors of 8273 are 8273. Prime factorization of 8273 in exponential form is:
8273 = 82731
Prime Factorization of 8275
5 | 8275 |
5 | 1655 |
331 | 331 |
1 |
Prime factors of 8275 are 5,331. Prime factorization of 8275 in exponential form is:
8275 = 52×3311
Now multiplying the highest exponent prime factors to calculate the LCM of 8273 and 8275.
LCM(8273,8275) = 52×3311×82731
LCM(8273,8275) = 68459075
Factors of 8273
List of positive integer factors of 8273 that divides 8273 without a remainder.
1, 8273
Factors of 8275
List of positive integer factors of 8275 that divides 8275 without a remainder.
1, 5, 25, 331, 1655, 8275
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8273 and 8275, than apply into the LCM equation.
GCF(8273,8275) = 1
LCM(8273,8275) = ( 8273 × 8275) / 1
LCM(8273,8275) = 68459075 / 1
LCM(8273,8275) = 68459075
(i) The LCM of 8275 and 8273 is associative
LCM of 8273 and 8275 = LCM of 8275 and 8273
1. What is the LCM of 8273 and 8275?
Answer: LCM of 8273 and 8275 is 68459075.
2. What are the Factors of 8273?
Answer: Factors of 8273 are 1, 8273. There are 2 integers that are factors of 8273. The greatest factor of 8273 is 8273.
3. What are the Factors of 8275?
Answer: Factors of 8275 are 1, 5, 25, 331, 1655, 8275. There are 6 integers that are factors of 8275. The greatest factor of 8275 is 8275.
4. How to Find the LCM of 8273 and 8275?
Answer:
Least Common Multiple of 8273 and 8275 = 68459075
Step 1: Find the prime factorization of 8273
8273 = 8273
Step 2: Find the prime factorization of 8275
8275 = 5 x 5 x 331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68459075 = 5 x 5 x 331 x 8273
Step 4: Therefore, the least common multiple of 8273 and 8275 is 68459075.