Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4388 and 4393 the smallest integer that is 19276484 that is divisible by both numbers.
Least Common Multiple (LCM) of 4388 and 4393 is 19276484.
LCM(4388,4393) = 19276484
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 4388 and 4393. First we will calculate the prime factors of 4388 and 4393.
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
Prime Factorization of 4393
23 | 4393 |
191 | 191 |
1 |
Prime factors of 4393 are 23,191. Prime factorization of 4393 in exponential form is:
4393 = 231×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 4388 and 4393.
LCM(4388,4393) = 22×231×1911×10971
LCM(4388,4393) = 19276484
Factors of 4388
List of positive integer factors of 4388 that divides 4388 without a remainder.
1, 2, 4, 1097, 2194, 4388
Factors of 4393
List of positive integer factors of 4393 that divides 4393 without a remainder.
1, 23, 191, 4393
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4388 and 4393, than apply into the LCM equation.
GCF(4388,4393) = 1
LCM(4388,4393) = ( 4388 × 4393) / 1
LCM(4388,4393) = 19276484 / 1
LCM(4388,4393) = 19276484
(i) The LCM of 4393 and 4388 is associative
LCM of 4388 and 4393 = LCM of 4393 and 4388
1. What is the LCM of 4388 and 4393?
Answer: LCM of 4388 and 4393 is 19276484.
2. 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.
3. What are the Factors of 4393?
Answer: Factors of 4393 are 1, 23, 191, 4393. There are 4 integers that are factors of 4393. The greatest factor of 4393 is 4393.
4. How to Find the LCM of 4388 and 4393?
Answer:
Least Common Multiple of 4388 and 4393 = 19276484
Step 1: Find the prime factorization of 4388
4388 = 2 x 2 x 1097
Step 2: Find the prime factorization of 4393
4393 = 23 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19276484 = 2 x 2 x 23 x 191 x 1097
Step 4: Therefore, the least common multiple of 4388 and 4393 is 19276484.