Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15227 and 15230 the smallest integer that is 231907210 that is divisible by both numbers.
Least Common Multiple (LCM) of 15227 and 15230 is 231907210.
LCM(15227,15230) = 231907210
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 15227 and 15230. First we will calculate the prime factors of 15227 and 15230.
Prime Factorization of 15227
15227 | 15227 |
1 |
Prime factors of 15227 are 15227. Prime factorization of 15227 in exponential form is:
15227 = 152271
Prime Factorization of 15230
2 | 15230 |
5 | 7615 |
1523 | 1523 |
1 |
Prime factors of 15230 are 2, 5,1523. Prime factorization of 15230 in exponential form is:
15230 = 21×51×15231
Now multiplying the highest exponent prime factors to calculate the LCM of 15227 and 15230.
LCM(15227,15230) = 21×51×15231×152271
LCM(15227,15230) = 231907210
Factors of 15227
List of positive integer factors of 15227 that divides 15227 without a remainder.
1, 15227
Factors of 15230
List of positive integer factors of 15230 that divides 15230 without a remainder.
1, 2, 5, 10, 1523, 3046, 7615, 15230
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15227 and 15230, than apply into the LCM equation.
GCF(15227,15230) = 1
LCM(15227,15230) = ( 15227 × 15230) / 1
LCM(15227,15230) = 231907210 / 1
LCM(15227,15230) = 231907210
(i) The LCM of 15230 and 15227 is associative
LCM of 15227 and 15230 = LCM of 15230 and 15227
1. What is the LCM of 15227 and 15230?
Answer: LCM of 15227 and 15230 is 231907210.
2. What are the Factors of 15227?
Answer: Factors of 15227 are 1, 15227. There are 2 integers that are factors of 15227. The greatest factor of 15227 is 15227.
3. What are the Factors of 15230?
Answer: Factors of 15230 are 1, 2, 5, 10, 1523, 3046, 7615, 15230. There are 8 integers that are factors of 15230. The greatest factor of 15230 is 15230.
4. How to Find the LCM of 15227 and 15230?
Answer:
Least Common Multiple of 15227 and 15230 = 231907210
Step 1: Find the prime factorization of 15227
15227 = 15227
Step 2: Find the prime factorization of 15230
15230 = 2 x 5 x 1523
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 231907210 = 2 x 5 x 1523 x 15227
Step 4: Therefore, the least common multiple of 15227 and 15230 is 231907210.