Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2368 and 2372 the smallest integer that is 1404224 that is divisible by both numbers.
Least Common Multiple (LCM) of 2368 and 2372 is 1404224.
LCM(2368,2372) = 1404224
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 2368 and 2372. First we will calculate the prime factors of 2368 and 2372.
Prime Factorization of 2368
2 | 2368 |
2 | 1184 |
2 | 592 |
2 | 296 |
2 | 148 |
2 | 74 |
37 | 37 |
1 |
Prime factors of 2368 are 2,37. Prime factorization of 2368 in exponential form is:
2368 = 26×371
Prime Factorization of 2372
2 | 2372 |
2 | 1186 |
593 | 593 |
1 |
Prime factors of 2372 are 2,593. Prime factorization of 2372 in exponential form is:
2372 = 22×5931
Now multiplying the highest exponent prime factors to calculate the LCM of 2368 and 2372.
LCM(2368,2372) = 26×371×5931
LCM(2368,2372) = 1404224
Factors of 2368
List of positive integer factors of 2368 that divides 2368 without a remainder.
1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368
Factors of 2372
List of positive integer factors of 2372 that divides 2372 without a remainder.
1, 2, 4, 593, 1186, 2372
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2368 and 2372, than apply into the LCM equation.
GCF(2368,2372) = 4
LCM(2368,2372) = ( 2368 × 2372) / 4
LCM(2368,2372) = 5616896 / 4
LCM(2368,2372) = 1404224
(i) The LCM of 2372 and 2368 is associative
LCM of 2368 and 2372 = LCM of 2372 and 2368
1. What is the LCM of 2368 and 2372?
Answer: LCM of 2368 and 2372 is 1404224.
2. What are the Factors of 2368?
Answer: Factors of 2368 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368. There are 14 integers that are factors of 2368. The greatest factor of 2368 is 2368.
3. What are the Factors of 2372?
Answer: Factors of 2372 are 1, 2, 4, 593, 1186, 2372. There are 6 integers that are factors of 2372. The greatest factor of 2372 is 2372.
4. How to Find the LCM of 2368 and 2372?
Answer:
Least Common Multiple of 2368 and 2372 = 1404224
Step 1: Find the prime factorization of 2368
2368 = 2 x 2 x 2 x 2 x 2 x 2 x 37
Step 2: Find the prime factorization of 2372
2372 = 2 x 2 x 593
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1404224 = 2 x 2 x 2 x 2 x 2 x 2 x 37 x 593
Step 4: Therefore, the least common multiple of 2368 and 2372 is 1404224.