Least Common Multiple of 10223 and 10230
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10223 and 10230 the smallest integer that is 104581290 that is divisible by both numbers.
Least Common Multiple (LCM) of 10223 and 10230 is 104581290.
LCM(10223,10230) = 104581290
LCM of 10223 and 10230
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10223 and 10230 by Prime method
- Least Common Multiple of 10223 and 10230 with GCF Formula
LCM of 10223 and 10230 is 104581290
Least common multiple can be found by multiplying the highest exponent prime factors of 10223 and 10230. First we will calculate the prime factors of 10223 and 10230.
Prime Factorization of 10223
| 10223 | 10223 |
| 1 |
Prime factors of 10223 are 10223. Prime factorization of 10223 in exponential form is:
10223 = 102231
Prime Factorization of 10230
| 2 | 10230 |
| 3 | 5115 |
| 5 | 1705 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 10230 are 2, 3, 5, 11,31. Prime factorization of 10230 in exponential form is:
10230 = 21×31×51×111×311
Now multiplying the highest exponent prime factors to calculate the LCM of 10223 and 10230.
LCM(10223,10230) = 21×31×51×111×311×102231
LCM(10223,10230) = 104581290
Factors of 10223
List of positive integer factors of 10223 that divides 10223 without a remainder.
1, 10223
Factors of 10230
List of positive integer factors of 10230 that divides 10230 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 31, 33, 55, 62, 66, 93, 110, 155, 165, 186, 310, 330, 341, 465, 682, 930, 1023, 1705, 2046, 3410, 5115, 10230
Least Common Multiple of 10223 and 10230 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10223 and 10230, than apply into the LCM equation.
GCF(10223,10230) = 1
LCM(10223,10230) = ( 10223 × 10230) / 1
LCM(10223,10230) = 104581290 / 1
LCM(10223,10230) = 104581290
Properties of LCM 10223 and 10230
(i) The LCM of 10230 and 10223 is associative
LCM of 10223 and 10230 = LCM of 10230 and 10223
Related Least Common Multiples of 10223
Related Least Common Multiples of 10230
Frequently Asked Questions on LCM of 10223 and 10230
1. What is the LCM of 10223 and 10230?
Answer: LCM of 10223 and 10230 is 104581290.
2. 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.
3. What are the Factors of 10230?
Answer: Factors of 10230 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 31, 33, 55, 62, 66, 93, 110, 155, 165, 186, 310, 330, 341, 465, 682, 930, 1023, 1705, 2046, 3410, 5115, 10230. There are 32 integers that are factors of 10230. The greatest factor of 10230 is 10230.
4. How to Find the LCM of 10223 and 10230?
Answer:
Least Common Multiple of 10223 and 10230 = 104581290
Step 1: Find the prime factorization of 10223
10223 = 10223
Step 2: Find the prime factorization of 10230
10230 = 2 x 3 x 5 x 11 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104581290 = 2 x 3 x 5 x 11 x 31 x 10223
Step 4: Therefore, the least common multiple of 10223 and 10230 is 104581290.