Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7282 and 7286 the smallest integer that is 26528326 that is divisible by both numbers.
Least Common Multiple (LCM) of 7282 and 7286 is 26528326.
LCM(7282,7286) = 26528326
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 7282 and 7286. First we will calculate the prime factors of 7282 and 7286.
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
Prime Factorization of 7286
2 | 7286 |
3643 | 3643 |
1 |
Prime factors of 7286 are 2,3643. Prime factorization of 7286 in exponential form is:
7286 = 21×36431
Now multiplying the highest exponent prime factors to calculate the LCM of 7282 and 7286.
LCM(7282,7286) = 21×111×3311×36431
LCM(7282,7286) = 26528326
Factors of 7282
List of positive integer factors of 7282 that divides 7282 without a remainder.
1, 2, 11, 22, 331, 662, 3641, 7282
Factors of 7286
List of positive integer factors of 7286 that divides 7286 without a remainder.
1, 2, 3643, 7286
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7282 and 7286, than apply into the LCM equation.
GCF(7282,7286) = 2
LCM(7282,7286) = ( 7282 × 7286) / 2
LCM(7282,7286) = 53056652 / 2
LCM(7282,7286) = 26528326
(i) The LCM of 7286 and 7282 is associative
LCM of 7282 and 7286 = LCM of 7286 and 7282
1. What is the LCM of 7282 and 7286?
Answer: LCM of 7282 and 7286 is 26528326.
2. 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.
3. What are the Factors of 7286?
Answer: Factors of 7286 are 1, 2, 3643, 7286. There are 4 integers that are factors of 7286. The greatest factor of 7286 is 7286.
4. How to Find the LCM of 7282 and 7286?
Answer:
Least Common Multiple of 7282 and 7286 = 26528326
Step 1: Find the prime factorization of 7282
7282 = 2 x 11 x 331
Step 2: Find the prime factorization of 7286
7286 = 2 x 3643
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26528326 = 2 x 11 x 331 x 3643
Step 4: Therefore, the least common multiple of 7282 and 7286 is 26528326.