Least Common Multiple of 16218 and 16221
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 16218 and 16221 the smallest integer that is 87690726 that is divisible by both numbers.
Least Common Multiple (LCM) of 16218 and 16221 is 87690726.
LCM(16218,16221) = 87690726
LCM of 16218 and 16221
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 16218 and 16221 by Prime method
- Least Common Multiple of 16218 and 16221 with GCF Formula
LCM of 16218 and 16221 is 87690726
Least common multiple can be found by multiplying the highest exponent prime factors of 16218 and 16221. First we will calculate the prime factors of 16218 and 16221.
Prime Factorization of 16218
| 2 | 16218 |
| 3 | 8109 |
| 3 | 2703 |
| 17 | 901 |
| 53 | 53 |
| 1 |
Prime factors of 16218 are 2, 3, 17,53. Prime factorization of 16218 in exponential form is:
16218 = 21×32×171×531
Prime Factorization of 16221
| 3 | 16221 |
| 5407 | 5407 |
| 1 |
Prime factors of 16221 are 3,5407. Prime factorization of 16221 in exponential form is:
16221 = 31×54071
Now multiplying the highest exponent prime factors to calculate the LCM of 16218 and 16221.
LCM(16218,16221) = 21×32×171×531×54071
LCM(16218,16221) = 87690726
Factors of 16218
List of positive integer factors of 16218 that divides 16218 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 53, 102, 106, 153, 159, 306, 318, 477, 901, 954, 1802, 2703, 5406, 8109, 16218
Factors of 16221
List of positive integer factors of 16221 that divides 16221 without a remainder.
1, 3, 5407, 16221
Least Common Multiple of 16218 and 16221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16218 and 16221, than apply into the LCM equation.
GCF(16218,16221) = 3
LCM(16218,16221) = ( 16218 × 16221) / 3
LCM(16218,16221) = 263072178 / 3
LCM(16218,16221) = 87690726
Properties of LCM 16218 and 16221
(i) The LCM of 16221 and 16218 is associative
LCM of 16218 and 16221 = LCM of 16221 and 16218
Related Least Common Multiples of 16218
Related Least Common Multiples of 16221
Frequently Asked Questions on LCM of 16218 and 16221
1. What is the LCM of 16218 and 16221?
Answer: LCM of 16218 and 16221 is 87690726.
2. What are the Factors of 16218?
Answer: Factors of 16218 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 53, 102, 106, 153, 159, 306, 318, 477, 901, 954, 1802, 2703, 5406, 8109, 16218. There are 24 integers that are factors of 16218. The greatest factor of 16218 is 16218.
3. What are the Factors of 16221?
Answer: Factors of 16221 are 1, 3, 5407, 16221. There are 4 integers that are factors of 16221. The greatest factor of 16221 is 16221.
4. How to Find the LCM of 16218 and 16221?
Answer:
Least Common Multiple of 16218 and 16221 = 87690726
Step 1: Find the prime factorization of 16218
16218 = 2 x 3 x 3 x 17 x 53
Step 2: Find the prime factorization of 16221
16221 = 3 x 5407
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87690726 = 2 x 3 x 3 x 17 x 53 x 5407
Step 4: Therefore, the least common multiple of 16218 and 16221 is 87690726.