Least Common Multiple of 10217 and 10221
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10217 and 10221 the smallest integer that is 104427957 that is divisible by both numbers.
Least Common Multiple (LCM) of 10217 and 10221 is 104427957.
LCM(10217,10221) = 104427957
LCM of 10217 and 10221
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10217 and 10221 by Prime method
- Least Common Multiple of 10217 and 10221 with GCF Formula
LCM of 10217 and 10221 is 104427957
Least common multiple can be found by multiplying the highest exponent prime factors of 10217 and 10221. First we will calculate the prime factors of 10217 and 10221.
Prime Factorization of 10217
| 17 | 10217 |
| 601 | 601 |
| 1 |
Prime factors of 10217 are 17,601. Prime factorization of 10217 in exponential form is:
10217 = 171×6011
Prime Factorization of 10221
| 3 | 10221 |
| 3407 | 3407 |
| 1 |
Prime factors of 10221 are 3,3407. Prime factorization of 10221 in exponential form is:
10221 = 31×34071
Now multiplying the highest exponent prime factors to calculate the LCM of 10217 and 10221.
LCM(10217,10221) = 31×171×6011×34071
LCM(10217,10221) = 104427957
Factors of 10217
List of positive integer factors of 10217 that divides 10217 without a remainder.
1, 17, 601, 10217
Factors of 10221
List of positive integer factors of 10221 that divides 10221 without a remainder.
1, 3, 3407, 10221
Least Common Multiple of 10217 and 10221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10217 and 10221, than apply into the LCM equation.
GCF(10217,10221) = 1
LCM(10217,10221) = ( 10217 × 10221) / 1
LCM(10217,10221) = 104427957 / 1
LCM(10217,10221) = 104427957
Properties of LCM 10217 and 10221
(i) The LCM of 10221 and 10217 is associative
LCM of 10217 and 10221 = LCM of 10221 and 10217
Related Least Common Multiples of 10217
Related Least Common Multiples of 10221
Frequently Asked Questions on LCM of 10217 and 10221
1. What is the LCM of 10217 and 10221?
Answer: LCM of 10217 and 10221 is 104427957.
2. What are the Factors of 10217?
Answer: Factors of 10217 are 1, 17, 601, 10217. There are 4 integers that are factors of 10217. The greatest factor of 10217 is 10217.
3. What are the Factors of 10221?
Answer: Factors of 10221 are 1, 3, 3407, 10221. There are 4 integers that are factors of 10221. The greatest factor of 10221 is 10221.
4. How to Find the LCM of 10217 and 10221?
Answer:
Least Common Multiple of 10217 and 10221 = 104427957
Step 1: Find the prime factorization of 10217
10217 = 17 x 601
Step 2: Find the prime factorization of 10221
10221 = 3 x 3407
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104427957 = 3 x 17 x 601 x 3407
Step 4: Therefore, the least common multiple of 10217 and 10221 is 104427957.