Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8194 and 8202 the smallest integer that is 33603594 that is divisible by both numbers.
Least Common Multiple (LCM) of 8194 and 8202 is 33603594.
LCM(8194,8202) = 33603594
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 8194 and 8202. First we will calculate the prime factors of 8194 and 8202.
Prime Factorization of 8194
2 | 8194 |
17 | 4097 |
241 | 241 |
1 |
Prime factors of 8194 are 2, 17,241. Prime factorization of 8194 in exponential form is:
8194 = 21×171×2411
Prime Factorization of 8202
2 | 8202 |
3 | 4101 |
1367 | 1367 |
1 |
Prime factors of 8202 are 2, 3,1367. Prime factorization of 8202 in exponential form is:
8202 = 21×31×13671
Now multiplying the highest exponent prime factors to calculate the LCM of 8194 and 8202.
LCM(8194,8202) = 21×31×171×2411×13671
LCM(8194,8202) = 33603594
Factors of 8194
List of positive integer factors of 8194 that divides 8194 without a remainder.
1, 2, 17, 34, 241, 482, 4097, 8194
Factors of 8202
List of positive integer factors of 8202 that divides 8202 without a remainder.
1, 2, 3, 6, 1367, 2734, 4101, 8202
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8194 and 8202, than apply into the LCM equation.
GCF(8194,8202) = 2
LCM(8194,8202) = ( 8194 × 8202) / 2
LCM(8194,8202) = 67207188 / 2
LCM(8194,8202) = 33603594
(i) The LCM of 8202 and 8194 is associative
LCM of 8194 and 8202 = LCM of 8202 and 8194
1. What is the LCM of 8194 and 8202?
Answer: LCM of 8194 and 8202 is 33603594.
2. What are the Factors of 8194?
Answer: Factors of 8194 are 1, 2, 17, 34, 241, 482, 4097, 8194. There are 8 integers that are factors of 8194. The greatest factor of 8194 is 8194.
3. What are the Factors of 8202?
Answer: Factors of 8202 are 1, 2, 3, 6, 1367, 2734, 4101, 8202. There are 8 integers that are factors of 8202. The greatest factor of 8202 is 8202.
4. How to Find the LCM of 8194 and 8202?
Answer:
Least Common Multiple of 8194 and 8202 = 33603594
Step 1: Find the prime factorization of 8194
8194 = 2 x 17 x 241
Step 2: Find the prime factorization of 8202
8202 = 2 x 3 x 1367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33603594 = 2 x 3 x 17 x 241 x 1367
Step 4: Therefore, the least common multiple of 8194 and 8202 is 33603594.