Least Common Multiple of 10217 and 10223
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 10223 the smallest integer that is 104448391 that is divisible by both numbers.
Least Common Multiple (LCM) of 10217 and 10223 is 104448391.
LCM(10217,10223) = 104448391
LCM of 10217 and 10223
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10217 and 10223 by Prime method
- Least Common Multiple of 10217 and 10223 with GCF Formula
LCM of 10217 and 10223 is 104448391
Least common multiple can be found by multiplying the highest exponent prime factors of 10217 and 10223. First we will calculate the prime factors of 10217 and 10223.
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 10223
| 10223 | 10223 |
| 1 |
Prime factors of 10223 are 10223. Prime factorization of 10223 in exponential form is:
10223 = 102231
Now multiplying the highest exponent prime factors to calculate the LCM of 10217 and 10223.
LCM(10217,10223) = 171×6011×102231
LCM(10217,10223) = 104448391
Factors of 10217
List of positive integer factors of 10217 that divides 10217 without a remainder.
1, 17, 601, 10217
Factors of 10223
List of positive integer factors of 10223 that divides 10223 without a remainder.
1, 10223
Least Common Multiple of 10217 and 10223 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 10223, than apply into the LCM equation.
GCF(10217,10223) = 1
LCM(10217,10223) = ( 10217 × 10223) / 1
LCM(10217,10223) = 104448391 / 1
LCM(10217,10223) = 104448391
Properties of LCM 10217 and 10223
(i) The LCM of 10223 and 10217 is associative
LCM of 10217 and 10223 = LCM of 10223 and 10217
Related Least Common Multiples of 10217
Related Least Common Multiples of 10223
Frequently Asked Questions on LCM of 10217 and 10223
1. What is the LCM of 10217 and 10223?
Answer: LCM of 10217 and 10223 is 104448391.
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 10223?
Answer: Factors of 10223 are 1, 10223. There are 2 integers that are factors of 10223. The greatest factor of 10223 is 10223.
4. How to Find the LCM of 10217 and 10223?
Answer:
Least Common Multiple of 10217 and 10223 = 104448391
Step 1: Find the prime factorization of 10217
10217 = 17 x 601
Step 2: Find the prime factorization of 10223
10223 = 10223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104448391 = 17 x 601 x 10223
Step 4: Therefore, the least common multiple of 10217 and 10223 is 104448391.