Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4383 and 4388 the smallest integer that is 19232604 that is divisible by both numbers.
Least Common Multiple (LCM) of 4383 and 4388 is 19232604.
LCM(4383,4388) = 19232604
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 4383 and 4388. First we will calculate the prime factors of 4383 and 4388.
Prime Factorization of 4383
3 | 4383 |
3 | 1461 |
487 | 487 |
1 |
Prime factors of 4383 are 3,487. Prime factorization of 4383 in exponential form is:
4383 = 32×4871
Prime Factorization of 4388
2 | 4388 |
2 | 2194 |
1097 | 1097 |
1 |
Prime factors of 4388 are 2,1097. Prime factorization of 4388 in exponential form is:
4388 = 22×10971
Now multiplying the highest exponent prime factors to calculate the LCM of 4383 and 4388.
LCM(4383,4388) = 22×32×4871×10971
LCM(4383,4388) = 19232604
Factors of 4383
List of positive integer factors of 4383 that divides 4383 without a remainder.
1, 3, 9, 487, 1461, 4383
Factors of 4388
List of positive integer factors of 4388 that divides 4388 without a remainder.
1, 2, 4, 1097, 2194, 4388
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4383 and 4388, than apply into the LCM equation.
GCF(4383,4388) = 1
LCM(4383,4388) = ( 4383 × 4388) / 1
LCM(4383,4388) = 19232604 / 1
LCM(4383,4388) = 19232604
(i) The LCM of 4388 and 4383 is associative
LCM of 4383 and 4388 = LCM of 4388 and 4383
1. What is the LCM of 4383 and 4388?
Answer: LCM of 4383 and 4388 is 19232604.
2. What are the Factors of 4383?
Answer: Factors of 4383 are 1, 3, 9, 487, 1461, 4383. There are 6 integers that are factors of 4383. The greatest factor of 4383 is 4383.
3. What are the Factors of 4388?
Answer: Factors of 4388 are 1, 2, 4, 1097, 2194, 4388. There are 6 integers that are factors of 4388. The greatest factor of 4388 is 4388.
4. How to Find the LCM of 4383 and 4388?
Answer:
Least Common Multiple of 4383 and 4388 = 19232604
Step 1: Find the prime factorization of 4383
4383 = 3 x 3 x 487
Step 2: Find the prime factorization of 4388
4388 = 2 x 2 x 1097
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19232604 = 2 x 2 x 3 x 3 x 487 x 1097
Step 4: Therefore, the least common multiple of 4383 and 4388 is 19232604.