Least Common Multiple of 15215 and 15222
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15215 and 15222 the smallest integer that is 231602730 that is divisible by both numbers.
Least Common Multiple (LCM) of 15215 and 15222 is 231602730.
LCM(15215,15222) = 231602730
LCM of 15215 and 15222
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15215 and 15222 by Prime method
- Least Common Multiple of 15215 and 15222 with GCF Formula
LCM of 15215 and 15222 is 231602730
Least common multiple can be found by multiplying the highest exponent prime factors of 15215 and 15222. First we will calculate the prime factors of 15215 and 15222.
Prime Factorization of 15215
| 5 | 15215 |
| 17 | 3043 |
| 179 | 179 |
| 1 |
Prime factors of 15215 are 5, 17,179. Prime factorization of 15215 in exponential form is:
15215 = 51×171×1791
Prime Factorization of 15222
| 2 | 15222 |
| 3 | 7611 |
| 43 | 2537 |
| 59 | 59 |
| 1 |
Prime factors of 15222 are 2, 3, 43,59. Prime factorization of 15222 in exponential form is:
15222 = 21×31×431×591
Now multiplying the highest exponent prime factors to calculate the LCM of 15215 and 15222.
LCM(15215,15222) = 21×31×51×171×431×591×1791
LCM(15215,15222) = 231602730
Factors of 15215
List of positive integer factors of 15215 that divides 15215 without a remainder.
1, 5, 17, 85, 179, 895, 3043, 15215
Factors of 15222
List of positive integer factors of 15222 that divides 15222 without a remainder.
1, 2, 3, 6, 43, 59, 86, 118, 129, 177, 258, 354, 2537, 5074, 7611, 15222
Least Common Multiple of 15215 and 15222 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15215 and 15222, than apply into the LCM equation.
GCF(15215,15222) = 1
LCM(15215,15222) = ( 15215 × 15222) / 1
LCM(15215,15222) = 231602730 / 1
LCM(15215,15222) = 231602730
Properties of LCM 15215 and 15222
(i) The LCM of 15222 and 15215 is associative
LCM of 15215 and 15222 = LCM of 15222 and 15215
Related Least Common Multiples of 15215
Related Least Common Multiples of 15222
Frequently Asked Questions on LCM of 15215 and 15222
1. What is the LCM of 15215 and 15222?
Answer: LCM of 15215 and 15222 is 231602730.
2. What are the Factors of 15215?
Answer: Factors of 15215 are 1, 5, 17, 85, 179, 895, 3043, 15215. There are 8 integers that are factors of 15215. The greatest factor of 15215 is 15215.
3. What are the Factors of 15222?
Answer: Factors of 15222 are 1, 2, 3, 6, 43, 59, 86, 118, 129, 177, 258, 354, 2537, 5074, 7611, 15222. There are 16 integers that are factors of 15222. The greatest factor of 15222 is 15222.
4. How to Find the LCM of 15215 and 15222?
Answer:
Least Common Multiple of 15215 and 15222 = 231602730
Step 1: Find the prime factorization of 15215
15215 = 5 x 17 x 179
Step 2: Find the prime factorization of 15222
15222 = 2 x 3 x 43 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 231602730 = 2 x 3 x 5 x 17 x 43 x 59 x 179
Step 4: Therefore, the least common multiple of 15215 and 15222 is 231602730.