Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8217 and 8221 the smallest integer that is 67551957 that is divisible by both numbers.
Least Common Multiple (LCM) of 8217 and 8221 is 67551957.
LCM(8217,8221) = 67551957
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 8217 and 8221. First we will calculate the prime factors of 8217 and 8221.
Prime Factorization of 8217
3 | 8217 |
3 | 2739 |
11 | 913 |
83 | 83 |
1 |
Prime factors of 8217 are 3, 11,83. Prime factorization of 8217 in exponential form is:
8217 = 32×111×831
Prime Factorization of 8221
8221 | 8221 |
1 |
Prime factors of 8221 are 8221. Prime factorization of 8221 in exponential form is:
8221 = 82211
Now multiplying the highest exponent prime factors to calculate the LCM of 8217 and 8221.
LCM(8217,8221) = 32×111×831×82211
LCM(8217,8221) = 67551957
Factors of 8217
List of positive integer factors of 8217 that divides 8217 without a remainder.
1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217
Factors of 8221
List of positive integer factors of 8221 that divides 8221 without a remainder.
1, 8221
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8217 and 8221, than apply into the LCM equation.
GCF(8217,8221) = 1
LCM(8217,8221) = ( 8217 × 8221) / 1
LCM(8217,8221) = 67551957 / 1
LCM(8217,8221) = 67551957
(i) The LCM of 8221 and 8217 is associative
LCM of 8217 and 8221 = LCM of 8221 and 8217
1. What is the LCM of 8217 and 8221?
Answer: LCM of 8217 and 8221 is 67551957.
2. What are the Factors of 8217?
Answer: Factors of 8217 are 1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217. There are 12 integers that are factors of 8217. The greatest factor of 8217 is 8217.
3. What are the Factors of 8221?
Answer: Factors of 8221 are 1, 8221. There are 2 integers that are factors of 8221. The greatest factor of 8221 is 8221.
4. How to Find the LCM of 8217 and 8221?
Answer:
Least Common Multiple of 8217 and 8221 = 67551957
Step 1: Find the prime factorization of 8217
8217 = 3 x 3 x 11 x 83
Step 2: Find the prime factorization of 8221
8221 = 8221
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67551957 = 3 x 3 x 11 x 83 x 8221
Step 4: Therefore, the least common multiple of 8217 and 8221 is 67551957.