Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7384 and 7388 the smallest integer that is 13638248 that is divisible by both numbers.
Least Common Multiple (LCM) of 7384 and 7388 is 13638248.
LCM(7384,7388) = 13638248
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 7384 and 7388. First we will calculate the prime factors of 7384 and 7388.
Prime Factorization of 7384
2 | 7384 |
2 | 3692 |
2 | 1846 |
13 | 923 |
71 | 71 |
1 |
Prime factors of 7384 are 2, 13,71. Prime factorization of 7384 in exponential form is:
7384 = 23×131×711
Prime Factorization of 7388
2 | 7388 |
2 | 3694 |
1847 | 1847 |
1 |
Prime factors of 7388 are 2,1847. Prime factorization of 7388 in exponential form is:
7388 = 22×18471
Now multiplying the highest exponent prime factors to calculate the LCM of 7384 and 7388.
LCM(7384,7388) = 23×131×711×18471
LCM(7384,7388) = 13638248
Factors of 7384
List of positive integer factors of 7384 that divides 7384 without a remainder.
1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384
Factors of 7388
List of positive integer factors of 7388 that divides 7388 without a remainder.
1, 2, 4, 1847, 3694, 7388
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7384 and 7388, than apply into the LCM equation.
GCF(7384,7388) = 4
LCM(7384,7388) = ( 7384 × 7388) / 4
LCM(7384,7388) = 54552992 / 4
LCM(7384,7388) = 13638248
(i) The LCM of 7388 and 7384 is associative
LCM of 7384 and 7388 = LCM of 7388 and 7384
1. What is the LCM of 7384 and 7388?
Answer: LCM of 7384 and 7388 is 13638248.
2. What are the Factors of 7384?
Answer: Factors of 7384 are 1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384. There are 16 integers that are factors of 7384. The greatest factor of 7384 is 7384.
3. What are the Factors of 7388?
Answer: Factors of 7388 are 1, 2, 4, 1847, 3694, 7388. There are 6 integers that are factors of 7388. The greatest factor of 7388 is 7388.
4. How to Find the LCM of 7384 and 7388?
Answer:
Least Common Multiple of 7384 and 7388 = 13638248
Step 1: Find the prime factorization of 7384
7384 = 2 x 2 x 2 x 13 x 71
Step 2: Find the prime factorization of 7388
7388 = 2 x 2 x 1847
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13638248 = 2 x 2 x 2 x 13 x 71 x 1847
Step 4: Therefore, the least common multiple of 7384 and 7388 is 13638248.