Least Common Multiple of 7275 and 7282
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7275 and 7282 the smallest integer that is 52976550 that is divisible by both numbers.
Least Common Multiple (LCM) of 7275 and 7282 is 52976550.
LCM(7275,7282) = 52976550
LCM of 7275 and 7282
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7275 and 7282 by Prime method
- Least Common Multiple of 7275 and 7282 with GCF Formula
LCM of 7275 and 7282 is 52976550
Least common multiple can be found by multiplying the highest exponent prime factors of 7275 and 7282. First we will calculate the prime factors of 7275 and 7282.
Prime Factorization of 7275
| 3 | 7275 |
| 5 | 2425 |
| 5 | 485 |
| 97 | 97 |
| 1 |
Prime factors of 7275 are 3, 5,97. Prime factorization of 7275 in exponential form is:
7275 = 31×52×971
Prime Factorization of 7282
| 2 | 7282 |
| 11 | 3641 |
| 331 | 331 |
| 1 |
Prime factors of 7282 are 2, 11,331. Prime factorization of 7282 in exponential form is:
7282 = 21×111×3311
Now multiplying the highest exponent prime factors to calculate the LCM of 7275 and 7282.
LCM(7275,7282) = 21×31×52×111×971×3311
LCM(7275,7282) = 52976550
Factors of 7275
List of positive integer factors of 7275 that divides 7275 without a remainder.
1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275
Factors of 7282
List of positive integer factors of 7282 that divides 7282 without a remainder.
1, 2, 11, 22, 331, 662, 3641, 7282
Least Common Multiple of 7275 and 7282 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7275 and 7282, than apply into the LCM equation.
GCF(7275,7282) = 1
LCM(7275,7282) = ( 7275 × 7282) / 1
LCM(7275,7282) = 52976550 / 1
LCM(7275,7282) = 52976550
Properties of LCM 7275 and 7282
(i) The LCM of 7282 and 7275 is associative
LCM of 7275 and 7282 = LCM of 7282 and 7275
Related Least Common Multiples of 7275
Related Least Common Multiples of 7282
Frequently Asked Questions on LCM of 7275 and 7282
1. What is the LCM of 7275 and 7282?
Answer: LCM of 7275 and 7282 is 52976550.
2. What are the Factors of 7275?
Answer: Factors of 7275 are 1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275. There are 12 integers that are factors of 7275. The greatest factor of 7275 is 7275.
3. What are the Factors of 7282?
Answer: Factors of 7282 are 1, 2, 11, 22, 331, 662, 3641, 7282. There are 8 integers that are factors of 7282. The greatest factor of 7282 is 7282.
4. How to Find the LCM of 7275 and 7282?
Answer:
Least Common Multiple of 7275 and 7282 = 52976550
Step 1: Find the prime factorization of 7275
7275 = 3 x 5 x 5 x 97
Step 2: Find the prime factorization of 7282
7282 = 2 x 11 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 = 52976550 = 2 x 3 x 5 x 5 x 11 x 97 x 331
Step 4: Therefore, the least common multiple of 7275 and 7282 is 52976550.