Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7377 and 7384 the smallest integer that is 54471768 that is divisible by both numbers.
Least Common Multiple (LCM) of 7377 and 7384 is 54471768.
LCM(7377,7384) = 54471768
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 7377 and 7384. First we will calculate the prime factors of 7377 and 7384.
Prime Factorization of 7377
3 | 7377 |
2459 | 2459 |
1 |
Prime factors of 7377 are 3,2459. Prime factorization of 7377 in exponential form is:
7377 = 31×24591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7377 and 7384.
LCM(7377,7384) = 23×31×131×711×24591
LCM(7377,7384) = 54471768
Factors of 7377
List of positive integer factors of 7377 that divides 7377 without a remainder.
1, 3, 2459, 7377
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7377 and 7384, than apply into the LCM equation.
GCF(7377,7384) = 1
LCM(7377,7384) = ( 7377 × 7384) / 1
LCM(7377,7384) = 54471768 / 1
LCM(7377,7384) = 54471768
(i) The LCM of 7384 and 7377 is associative
LCM of 7377 and 7384 = LCM of 7384 and 7377
1. What is the LCM of 7377 and 7384?
Answer: LCM of 7377 and 7384 is 54471768.
2. What are the Factors of 7377?
Answer: Factors of 7377 are 1, 3, 2459, 7377. There are 4 integers that are factors of 7377. The greatest factor of 7377 is 7377.
3. 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.
4. How to Find the LCM of 7377 and 7384?
Answer:
Least Common Multiple of 7377 and 7384 = 54471768
Step 1: Find the prime factorization of 7377
7377 = 3 x 2459
Step 2: Find the prime factorization of 7384
7384 = 2 x 2 x 2 x 13 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54471768 = 2 x 2 x 2 x 3 x 13 x 71 x 2459
Step 4: Therefore, the least common multiple of 7377 and 7384 is 54471768.