Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8199 and 8203 the smallest integer that is 67256397 that is divisible by both numbers.
Least Common Multiple (LCM) of 8199 and 8203 is 67256397.
LCM(8199,8203) = 67256397
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 8199 and 8203. First we will calculate the prime factors of 8199 and 8203.
Prime Factorization of 8199
3 | 8199 |
3 | 2733 |
911 | 911 |
1 |
Prime factors of 8199 are 3,911. Prime factorization of 8199 in exponential form is:
8199 = 32×9111
Prime Factorization of 8203
13 | 8203 |
631 | 631 |
1 |
Prime factors of 8203 are 13,631. Prime factorization of 8203 in exponential form is:
8203 = 131×6311
Now multiplying the highest exponent prime factors to calculate the LCM of 8199 and 8203.
LCM(8199,8203) = 32×131×6311×9111
LCM(8199,8203) = 67256397
Factors of 8199
List of positive integer factors of 8199 that divides 8199 without a remainder.
1, 3, 9, 911, 2733, 8199
Factors of 8203
List of positive integer factors of 8203 that divides 8203 without a remainder.
1, 13, 631, 8203
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8199 and 8203, than apply into the LCM equation.
GCF(8199,8203) = 1
LCM(8199,8203) = ( 8199 × 8203) / 1
LCM(8199,8203) = 67256397 / 1
LCM(8199,8203) = 67256397
(i) The LCM of 8203 and 8199 is associative
LCM of 8199 and 8203 = LCM of 8203 and 8199
1. What is the LCM of 8199 and 8203?
Answer: LCM of 8199 and 8203 is 67256397.
2. What are the Factors of 8199?
Answer: Factors of 8199 are 1, 3, 9, 911, 2733, 8199. There are 6 integers that are factors of 8199. The greatest factor of 8199 is 8199.
3. What are the Factors of 8203?
Answer: Factors of 8203 are 1, 13, 631, 8203. There are 4 integers that are factors of 8203. The greatest factor of 8203 is 8203.
4. How to Find the LCM of 8199 and 8203?
Answer:
Least Common Multiple of 8199 and 8203 = 67256397
Step 1: Find the prime factorization of 8199
8199 = 3 x 3 x 911
Step 2: Find the prime factorization of 8203
8203 = 13 x 631
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67256397 = 3 x 3 x 13 x 631 x 911
Step 4: Therefore, the least common multiple of 8199 and 8203 is 67256397.