Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4193 and 4197 the smallest integer that is 17598021 that is divisible by both numbers.
Least Common Multiple (LCM) of 4193 and 4197 is 17598021.
LCM(4193,4197) = 17598021
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 4193 and 4197. First we will calculate the prime factors of 4193 and 4197.
Prime Factorization of 4193
7 | 4193 |
599 | 599 |
1 |
Prime factors of 4193 are 7,599. Prime factorization of 4193 in exponential form is:
4193 = 71×5991
Prime Factorization of 4197
3 | 4197 |
1399 | 1399 |
1 |
Prime factors of 4197 are 3,1399. Prime factorization of 4197 in exponential form is:
4197 = 31×13991
Now multiplying the highest exponent prime factors to calculate the LCM of 4193 and 4197.
LCM(4193,4197) = 31×71×5991×13991
LCM(4193,4197) = 17598021
Factors of 4193
List of positive integer factors of 4193 that divides 4193 without a remainder.
1, 7, 599, 4193
Factors of 4197
List of positive integer factors of 4197 that divides 4197 without a remainder.
1, 3, 1399, 4197
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4193 and 4197, than apply into the LCM equation.
GCF(4193,4197) = 1
LCM(4193,4197) = ( 4193 × 4197) / 1
LCM(4193,4197) = 17598021 / 1
LCM(4193,4197) = 17598021
(i) The LCM of 4197 and 4193 is associative
LCM of 4193 and 4197 = LCM of 4197 and 4193
1. What is the LCM of 4193 and 4197?
Answer: LCM of 4193 and 4197 is 17598021.
2. What are the Factors of 4193?
Answer: Factors of 4193 are 1, 7, 599, 4193. There are 4 integers that are factors of 4193. The greatest factor of 4193 is 4193.
3. What are the Factors of 4197?
Answer: Factors of 4197 are 1, 3, 1399, 4197. There are 4 integers that are factors of 4197. The greatest factor of 4197 is 4197.
4. How to Find the LCM of 4193 and 4197?
Answer:
Least Common Multiple of 4193 and 4197 = 17598021
Step 1: Find the prime factorization of 4193
4193 = 7 x 599
Step 2: Find the prime factorization of 4197
4197 = 3 x 1399
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17598021 = 3 x 7 x 599 x 1399
Step 4: Therefore, the least common multiple of 4193 and 4197 is 17598021.