Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2432 and 2433 the smallest integer that is 5917056 that is divisible by both numbers.
Least Common Multiple (LCM) of 2432 and 2433 is 5917056.
LCM(2432,2433) = 5917056
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 2432 and 2433. First we will calculate the prime factors of 2432 and 2433.
Prime Factorization of 2432
2 | 2432 |
2 | 1216 |
2 | 608 |
2 | 304 |
2 | 152 |
2 | 76 |
2 | 38 |
19 | 19 |
1 |
Prime factors of 2432 are 2,19. Prime factorization of 2432 in exponential form is:
2432 = 27×191
Prime Factorization of 2433
3 | 2433 |
811 | 811 |
1 |
Prime factors of 2433 are 3,811. Prime factorization of 2433 in exponential form is:
2433 = 31×8111
Now multiplying the highest exponent prime factors to calculate the LCM of 2432 and 2433.
LCM(2432,2433) = 27×31×191×8111
LCM(2432,2433) = 5917056
Factors of 2432
List of positive integer factors of 2432 that divides 2432 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432
Factors of 2433
List of positive integer factors of 2433 that divides 2433 without a remainder.
1, 3, 811, 2433
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2432 and 2433, than apply into the LCM equation.
GCF(2432,2433) = 1
LCM(2432,2433) = ( 2432 × 2433) / 1
LCM(2432,2433) = 5917056 / 1
LCM(2432,2433) = 5917056
(i) The LCM of 2433 and 2432 is associative
LCM of 2432 and 2433 = LCM of 2433 and 2432
1. What is the LCM of 2432 and 2433?
Answer: LCM of 2432 and 2433 is 5917056.
2. What are the Factors of 2432?
Answer: Factors of 2432 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432. There are 16 integers that are factors of 2432. The greatest factor of 2432 is 2432.
3. What are the Factors of 2433?
Answer: Factors of 2433 are 1, 3, 811, 2433. There are 4 integers that are factors of 2433. The greatest factor of 2433 is 2433.
4. How to Find the LCM of 2432 and 2433?
Answer:
Least Common Multiple of 2432 and 2433 = 5917056
Step 1: Find the prime factorization of 2432
2432 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19
Step 2: Find the prime factorization of 2433
2433 = 3 x 811
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5917056 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 x 811
Step 4: Therefore, the least common multiple of 2432 and 2433 is 5917056.