Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7369 and 7376 the smallest integer that is 54353744 that is divisible by both numbers.
Least Common Multiple (LCM) of 7369 and 7376 is 54353744.
LCM(7369,7376) = 54353744
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 7369 and 7376. First we will calculate the prime factors of 7369 and 7376.
Prime Factorization of 7369
7369 | 7369 |
1 |
Prime factors of 7369 are 7369. Prime factorization of 7369 in exponential form is:
7369 = 73691
Prime Factorization of 7376
2 | 7376 |
2 | 3688 |
2 | 1844 |
2 | 922 |
461 | 461 |
1 |
Prime factors of 7376 are 2,461. Prime factorization of 7376 in exponential form is:
7376 = 24×4611
Now multiplying the highest exponent prime factors to calculate the LCM of 7369 and 7376.
LCM(7369,7376) = 24×4611×73691
LCM(7369,7376) = 54353744
Factors of 7369
List of positive integer factors of 7369 that divides 7369 without a remainder.
1, 7369
Factors of 7376
List of positive integer factors of 7376 that divides 7376 without a remainder.
1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7369 and 7376, than apply into the LCM equation.
GCF(7369,7376) = 1
LCM(7369,7376) = ( 7369 × 7376) / 1
LCM(7369,7376) = 54353744 / 1
LCM(7369,7376) = 54353744
(i) The LCM of 7376 and 7369 is associative
LCM of 7369 and 7376 = LCM of 7376 and 7369
1. What is the LCM of 7369 and 7376?
Answer: LCM of 7369 and 7376 is 54353744.
2. 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.
3. What are the Factors of 7376?
Answer: Factors of 7376 are 1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376. There are 10 integers that are factors of 7376. The greatest factor of 7376 is 7376.
4. How to Find the LCM of 7369 and 7376?
Answer:
Least Common Multiple of 7369 and 7376 = 54353744
Step 1: Find the prime factorization of 7369
7369 = 7369
Step 2: Find the prime factorization of 7376
7376 = 2 x 2 x 2 x 2 x 461
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54353744 = 2 x 2 x 2 x 2 x 461 x 7369
Step 4: Therefore, the least common multiple of 7369 and 7376 is 54353744.