Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4328 and 4333 the smallest integer that is 18753224 that is divisible by both numbers.
Least Common Multiple (LCM) of 4328 and 4333 is 18753224.
LCM(4328,4333) = 18753224
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 4328 and 4333. First we will calculate the prime factors of 4328 and 4333.
Prime Factorization of 4328
2 | 4328 |
2 | 2164 |
2 | 1082 |
541 | 541 |
1 |
Prime factors of 4328 are 2,541. Prime factorization of 4328 in exponential form is:
4328 = 23×5411
Prime Factorization of 4333
7 | 4333 |
619 | 619 |
1 |
Prime factors of 4333 are 7,619. Prime factorization of 4333 in exponential form is:
4333 = 71×6191
Now multiplying the highest exponent prime factors to calculate the LCM of 4328 and 4333.
LCM(4328,4333) = 23×71×5411×6191
LCM(4328,4333) = 18753224
Factors of 4328
List of positive integer factors of 4328 that divides 4328 without a remainder.
1, 2, 4, 8, 541, 1082, 2164, 4328
Factors of 4333
List of positive integer factors of 4333 that divides 4333 without a remainder.
1, 7, 619, 4333
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4328 and 4333, than apply into the LCM equation.
GCF(4328,4333) = 1
LCM(4328,4333) = ( 4328 × 4333) / 1
LCM(4328,4333) = 18753224 / 1
LCM(4328,4333) = 18753224
(i) The LCM of 4333 and 4328 is associative
LCM of 4328 and 4333 = LCM of 4333 and 4328
1. What is the LCM of 4328 and 4333?
Answer: LCM of 4328 and 4333 is 18753224.
2. What are the Factors of 4328?
Answer: Factors of 4328 are 1, 2, 4, 8, 541, 1082, 2164, 4328. There are 8 integers that are factors of 4328. The greatest factor of 4328 is 4328.
3. What are the Factors of 4333?
Answer: Factors of 4333 are 1, 7, 619, 4333. There are 4 integers that are factors of 4333. The greatest factor of 4333 is 4333.
4. How to Find the LCM of 4328 and 4333?
Answer:
Least Common Multiple of 4328 and 4333 = 18753224
Step 1: Find the prime factorization of 4328
4328 = 2 x 2 x 2 x 541
Step 2: Find the prime factorization of 4333
4333 = 7 x 619
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18753224 = 2 x 2 x 2 x 7 x 541 x 619
Step 4: Therefore, the least common multiple of 4328 and 4333 is 18753224.