Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7365 and 7369 the smallest integer that is 54272685 that is divisible by both numbers.
Least Common Multiple (LCM) of 7365 and 7369 is 54272685.
LCM(7365,7369) = 54272685
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 7365 and 7369. First we will calculate the prime factors of 7365 and 7369.
Prime Factorization of 7365
3 | 7365 |
5 | 2455 |
491 | 491 |
1 |
Prime factors of 7365 are 3, 5,491. Prime factorization of 7365 in exponential form is:
7365 = 31×51×4911
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 7365 and 7369.
LCM(7365,7369) = 31×51×4911×73691
LCM(7365,7369) = 54272685
Factors of 7365
List of positive integer factors of 7365 that divides 7365 without a remainder.
1, 3, 5, 15, 491, 1473, 2455, 7365
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 7365 and 7369, than apply into the LCM equation.
GCF(7365,7369) = 1
LCM(7365,7369) = ( 7365 × 7369) / 1
LCM(7365,7369) = 54272685 / 1
LCM(7365,7369) = 54272685
(i) The LCM of 7369 and 7365 is associative
LCM of 7365 and 7369 = LCM of 7369 and 7365
1. What is the LCM of 7365 and 7369?
Answer: LCM of 7365 and 7369 is 54272685.
2. What are the Factors of 7365?
Answer: Factors of 7365 are 1, 3, 5, 15, 491, 1473, 2455, 7365. There are 8 integers that are factors of 7365. The greatest factor of 7365 is 7365.
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 7365 and 7369?
Answer:
Least Common Multiple of 7365 and 7369 = 54272685
Step 1: Find the prime factorization of 7365
7365 = 3 x 5 x 491
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 = 54272685 = 3 x 5 x 491 x 7369
Step 4: Therefore, the least common multiple of 7365 and 7369 is 54272685.