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 7369 the smallest integer that is 54265316 that is divisible by both numbers.
Least Common Multiple (LCM) of 7364 and 7369 is 54265316.
LCM(7364,7369) = 54265316
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 7369. First we will calculate the prime factors of 7364 and 7369.
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 7369
7369 | 7369 |
1 |
Prime factors of 7369 are 7369. Prime factorization of 7369 in exponential form is:
7369 = 73691
Now multiplying the highest exponent prime factors to calculate the LCM of 7364 and 7369.
LCM(7364,7369) = 22×71×2631×73691
LCM(7364,7369) = 54265316
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 7369
List of positive integer factors of 7369 that divides 7369 without a remainder.
1, 7369
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7364 and 7369, than apply into the LCM equation.
GCF(7364,7369) = 1
LCM(7364,7369) = ( 7364 × 7369) / 1
LCM(7364,7369) = 54265316 / 1
LCM(7364,7369) = 54265316
(i) The LCM of 7369 and 7364 is associative
LCM of 7364 and 7369 = LCM of 7369 and 7364
1. What is the LCM of 7364 and 7369?
Answer: LCM of 7364 and 7369 is 54265316.
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 7369?
Answer: Factors of 7369 are 1, 7369. There are 2 integers that are factors of 7369. The greatest factor of 7369 is 7369.
4. How to Find the LCM of 7364 and 7369?
Answer:
Least Common Multiple of 7364 and 7369 = 54265316
Step 1: Find the prime factorization of 7364
7364 = 2 x 2 x 7 x 263
Step 2: Find the prime factorization of 7369
7369 = 7369
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54265316 = 2 x 2 x 7 x 263 x 7369
Step 4: Therefore, the least common multiple of 7364 and 7369 is 54265316.