Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4330 and 4336 the smallest integer that is 9387440 that is divisible by both numbers.
Least Common Multiple (LCM) of 4330 and 4336 is 9387440.
LCM(4330,4336) = 9387440
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 4330 and 4336. First we will calculate the prime factors of 4330 and 4336.
Prime Factorization of 4330
2 | 4330 |
5 | 2165 |
433 | 433 |
1 |
Prime factors of 4330 are 2, 5,433. Prime factorization of 4330 in exponential form is:
4330 = 21×51×4331
Prime Factorization of 4336
2 | 4336 |
2 | 2168 |
2 | 1084 |
2 | 542 |
271 | 271 |
1 |
Prime factors of 4336 are 2,271. Prime factorization of 4336 in exponential form is:
4336 = 24×2711
Now multiplying the highest exponent prime factors to calculate the LCM of 4330 and 4336.
LCM(4330,4336) = 24×51×2711×4331
LCM(4330,4336) = 9387440
Factors of 4330
List of positive integer factors of 4330 that divides 4330 without a remainder.
1, 2, 5, 10, 433, 866, 2165, 4330
Factors of 4336
List of positive integer factors of 4336 that divides 4336 without a remainder.
1, 2, 4, 8, 16, 271, 542, 1084, 2168, 4336
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4330 and 4336, than apply into the LCM equation.
GCF(4330,4336) = 2
LCM(4330,4336) = ( 4330 × 4336) / 2
LCM(4330,4336) = 18774880 / 2
LCM(4330,4336) = 9387440
(i) The LCM of 4336 and 4330 is associative
LCM of 4330 and 4336 = LCM of 4336 and 4330
1. What is the LCM of 4330 and 4336?
Answer: LCM of 4330 and 4336 is 9387440.
2. What are the Factors of 4330?
Answer: Factors of 4330 are 1, 2, 5, 10, 433, 866, 2165, 4330. There are 8 integers that are factors of 4330. The greatest factor of 4330 is 4330.
3. What are the Factors of 4336?
Answer: Factors of 4336 are 1, 2, 4, 8, 16, 271, 542, 1084, 2168, 4336. There are 10 integers that are factors of 4336. The greatest factor of 4336 is 4336.
4. How to Find the LCM of 4330 and 4336?
Answer:
Least Common Multiple of 4330 and 4336 = 9387440
Step 1: Find the prime factorization of 4330
4330 = 2 x 5 x 433
Step 2: Find the prime factorization of 4336
4336 = 2 x 2 x 2 x 2 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9387440 = 2 x 2 x 2 x 2 x 5 x 271 x 433
Step 4: Therefore, the least common multiple of 4330 and 4336 is 9387440.