Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4093 and 4099 the smallest integer that is 16777207 that is divisible by both numbers.
Least Common Multiple (LCM) of 4093 and 4099 is 16777207.
LCM(4093,4099) = 16777207
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 4093 and 4099. First we will calculate the prime factors of 4093 and 4099.
Prime Factorization of 4093
4093 | 4093 |
1 |
Prime factors of 4093 are 4093. Prime factorization of 4093 in exponential form is:
4093 = 40931
Prime Factorization of 4099
4099 | 4099 |
1 |
Prime factors of 4099 are 4099. Prime factorization of 4099 in exponential form is:
4099 = 40991
Now multiplying the highest exponent prime factors to calculate the LCM of 4093 and 4099.
LCM(4093,4099) = 40931×40991
LCM(4093,4099) = 16777207
Factors of 4093
List of positive integer factors of 4093 that divides 4093 without a remainder.
1, 4093
Factors of 4099
List of positive integer factors of 4099 that divides 4099 without a remainder.
1, 4099
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4093 and 4099, than apply into the LCM equation.
GCF(4093,4099) = 1
LCM(4093,4099) = ( 4093 × 4099) / 1
LCM(4093,4099) = 16777207 / 1
LCM(4093,4099) = 16777207
(i) The LCM of 4099 and 4093 is associative
LCM of 4093 and 4099 = LCM of 4099 and 4093
1. What is the LCM of 4093 and 4099?
Answer: LCM of 4093 and 4099 is 16777207.
2. What are the Factors of 4093?
Answer: Factors of 4093 are 1, 4093. There are 2 integers that are factors of 4093. The greatest factor of 4093 is 4093.
3. What are the Factors of 4099?
Answer: Factors of 4099 are 1, 4099. There are 2 integers that are factors of 4099. The greatest factor of 4099 is 4099.
4. How to Find the LCM of 4093 and 4099?
Answer:
Least Common Multiple of 4093 and 4099 = 16777207
Step 1: Find the prime factorization of 4093
4093 = 4093
Step 2: Find the prime factorization of 4099
4099 = 4099
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16777207 = 4093 x 4099
Step 4: Therefore, the least common multiple of 4093 and 4099 is 16777207.