Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7364 and 7371 the smallest integer that is 7754292 that is divisible by both numbers.
Least Common Multiple (LCM) of 7364 and 7371 is 7754292.
LCM(7364,7371) = 7754292
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 7364 and 7371. First we will calculate the prime factors of 7364 and 7371.
Prime Factorization of 7364
2 | 7364 |
2 | 3682 |
7 | 1841 |
263 | 263 |
1 |
Prime factors of 7364 are 2, 7,263. Prime factorization of 7364 in exponential form is:
7364 = 22×71×2631
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 7364 and 7371.
LCM(7364,7371) = 22×34×71×131×2631
LCM(7364,7371) = 7754292
Factors of 7364
List of positive integer factors of 7364 that divides 7364 without a remainder.
1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364
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 7364 and 7371, than apply into the LCM equation.
GCF(7364,7371) = 7
LCM(7364,7371) = ( 7364 × 7371) / 7
LCM(7364,7371) = 54280044 / 7
LCM(7364,7371) = 7754292
(i) The LCM of 7371 and 7364 is associative
LCM of 7364 and 7371 = LCM of 7371 and 7364
1. What is the LCM of 7364 and 7371?
Answer: LCM of 7364 and 7371 is 7754292.
2. What are the Factors of 7364?
Answer: Factors of 7364 are 1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364. There are 12 integers that are factors of 7364. The greatest factor of 7364 is 7364.
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 7364 and 7371?
Answer:
Least Common Multiple of 7364 and 7371 = 7754292
Step 1: Find the prime factorization of 7364
7364 = 2 x 2 x 7 x 263
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 = 7754292 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 13 x 263
Step 4: Therefore, the least common multiple of 7364 and 7371 is 7754292.