Least Common Multiple of 10217 and 10222
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 10222 the smallest integer that is 104438174 that is divisible by both numbers.
Least Common Multiple (LCM) of 10217 and 10222 is 104438174.
LCM(10217,10222) = 104438174
LCM of 10217 and 10222
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10217 and 10222 by Prime method
- Least Common Multiple of 10217 and 10222 with GCF Formula
LCM of 10217 and 10222 is 104438174
Least common multiple can be found by multiplying the highest exponent prime factors of 10217 and 10222. First we will calculate the prime factors of 10217 and 10222.
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 10222
| 2 | 10222 |
| 19 | 5111 |
| 269 | 269 |
| 1 |
Prime factors of 10222 are 2, 19,269. Prime factorization of 10222 in exponential form is:
10222 = 21×191×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 10217 and 10222.
LCM(10217,10222) = 21×171×191×2691×6011
LCM(10217,10222) = 104438174
Factors of 10217
List of positive integer factors of 10217 that divides 10217 without a remainder.
1, 17, 601, 10217
Factors of 10222
List of positive integer factors of 10222 that divides 10222 without a remainder.
1, 2, 19, 38, 269, 538, 5111, 10222
Least Common Multiple of 10217 and 10222 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 10222, than apply into the LCM equation.
GCF(10217,10222) = 1
LCM(10217,10222) = ( 10217 × 10222) / 1
LCM(10217,10222) = 104438174 / 1
LCM(10217,10222) = 104438174
Properties of LCM 10217 and 10222
(i) The LCM of 10222 and 10217 is associative
LCM of 10217 and 10222 = LCM of 10222 and 10217
Related Least Common Multiples of 10217
Related Least Common Multiples of 10222
Frequently Asked Questions on LCM of 10217 and 10222
1. What is the LCM of 10217 and 10222?
Answer: LCM of 10217 and 10222 is 104438174.
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 10222?
Answer: Factors of 10222 are 1, 2, 19, 38, 269, 538, 5111, 10222. There are 8 integers that are factors of 10222. The greatest factor of 10222 is 10222.
4. How to Find the LCM of 10217 and 10222?
Answer:
Least Common Multiple of 10217 and 10222 = 104438174
Step 1: Find the prime factorization of 10217
10217 = 17 x 601
Step 2: Find the prime factorization of 10222
10222 = 2 x 19 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104438174 = 2 x 17 x 19 x 269 x 601
Step 4: Therefore, the least common multiple of 10217 and 10222 is 104438174.