Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7366 and 7371 the smallest integer that is 54294786 that is divisible by both numbers.
Least Common Multiple (LCM) of 7366 and 7371 is 54294786.
LCM(7366,7371) = 54294786
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 7366 and 7371. First we will calculate the prime factors of 7366 and 7371.
Prime Factorization of 7366
2 | 7366 |
29 | 3683 |
127 | 127 |
1 |
Prime factors of 7366 are 2, 29,127. Prime factorization of 7366 in exponential form is:
7366 = 21×291×1271
Prime Factorization of 7371
3 | 7371 |
3 | 2457 |
3 | 819 |
3 | 273 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 7371 are 3, 7,13. Prime factorization of 7371 in exponential form is:
7371 = 34×71×131
Now multiplying the highest exponent prime factors to calculate the LCM of 7366 and 7371.
LCM(7366,7371) = 21×34×71×131×291×1271
LCM(7366,7371) = 54294786
Factors of 7366
List of positive integer factors of 7366 that divides 7366 without a remainder.
1, 2, 29, 58, 127, 254, 3683, 7366
Factors of 7371
List of positive integer factors of 7371 that divides 7371 without a remainder.
1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457, 7371
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7366 and 7371, than apply into the LCM equation.
GCF(7366,7371) = 1
LCM(7366,7371) = ( 7366 × 7371) / 1
LCM(7366,7371) = 54294786 / 1
LCM(7366,7371) = 54294786
(i) The LCM of 7371 and 7366 is associative
LCM of 7366 and 7371 = LCM of 7371 and 7366
1. What is the LCM of 7366 and 7371?
Answer: LCM of 7366 and 7371 is 54294786.
2. What are the Factors of 7366?
Answer: Factors of 7366 are 1, 2, 29, 58, 127, 254, 3683, 7366. There are 8 integers that are factors of 7366. The greatest factor of 7366 is 7366.
3. What are the Factors of 7371?
Answer: Factors of 7371 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457, 7371. There are 20 integers that are factors of 7371. The greatest factor of 7371 is 7371.
4. How to Find the LCM of 7366 and 7371?
Answer:
Least Common Multiple of 7366 and 7371 = 54294786
Step 1: Find the prime factorization of 7366
7366 = 2 x 29 x 127
Step 2: Find the prime factorization of 7371
7371 = 3 x 3 x 3 x 3 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54294786 = 2 x 3 x 3 x 3 x 3 x 7 x 13 x 29 x 127
Step 4: Therefore, the least common multiple of 7366 and 7371 is 54294786.