Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4393 and 4397 the smallest integer that is 19316021 that is divisible by both numbers.
Least Common Multiple (LCM) of 4393 and 4397 is 19316021.
LCM(4393,4397) = 19316021
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 4393 and 4397. First we will calculate the prime factors of 4393 and 4397.
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
Prime Factorization of 4397
4397 | 4397 |
1 |
Prime factors of 4397 are 4397. Prime factorization of 4397 in exponential form is:
4397 = 43971
Now multiplying the highest exponent prime factors to calculate the LCM of 4393 and 4397.
LCM(4393,4397) = 231×1911×43971
LCM(4393,4397) = 19316021
Factors of 4393
List of positive integer factors of 4393 that divides 4393 without a remainder.
1, 23, 191, 4393
Factors of 4397
List of positive integer factors of 4397 that divides 4397 without a remainder.
1, 4397
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4393 and 4397, than apply into the LCM equation.
GCF(4393,4397) = 1
LCM(4393,4397) = ( 4393 × 4397) / 1
LCM(4393,4397) = 19316021 / 1
LCM(4393,4397) = 19316021
(i) The LCM of 4397 and 4393 is associative
LCM of 4393 and 4397 = LCM of 4397 and 4393
1. What is the LCM of 4393 and 4397?
Answer: LCM of 4393 and 4397 is 19316021.
2. 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.
3. What are the Factors of 4397?
Answer: Factors of 4397 are 1, 4397. There are 2 integers that are factors of 4397. The greatest factor of 4397 is 4397.
4. How to Find the LCM of 4393 and 4397?
Answer:
Least Common Multiple of 4393 and 4397 = 19316021
Step 1: Find the prime factorization of 4393
4393 = 23 x 191
Step 2: Find the prime factorization of 4397
4397 = 4397
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19316021 = 23 x 191 x 4397
Step 4: Therefore, the least common multiple of 4393 and 4397 is 19316021.