Least Common Multiple of 219 and 221
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 219 and 221 the smallest integer that is 48399 that is divisible by both numbers.
Least Common Multiple (LCM) of 219 and 221 is 48399.
LCM(219,221) = 48399
LCM of 219 and 221
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 219 and 221 by Prime method
- Least Common Multiple of 219 and 221 with GCF Formula
LCM of 219 and 221 is 48399
Least common multiple can be found by multiplying the highest exponent prime factors of 219 and 221. First we will calculate the prime factors of 219 and 221.
Prime Factorization of 219
| 3 | 219 |
| 73 | 73 |
| 1 |
Prime factors of 219 are 3,73. Prime factorization of 219 in exponential form is:
219 = 31×731
Prime Factorization of 221
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 221 are 13,17. Prime factorization of 221 in exponential form is:
221 = 131×171
Now multiplying the highest exponent prime factors to calculate the LCM of 219 and 221.
LCM(219,221) = 31×131×171×731
LCM(219,221) = 48399
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1, 3, 73, 219
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Least Common Multiple of 219 and 221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 219 and 221, than apply into the LCM equation.
GCF(219,221) = 1
LCM(219,221) = ( 219 × 221) / 1
LCM(219,221) = 48399 / 1
LCM(219,221) = 48399
Properties of LCM 219 and 221
(i) The LCM of 221 and 219 is associative
LCM of 219 and 221 = LCM of 221 and 219
Related Least Common Multiples of 219
Related Least Common Multiples of 221
Frequently Asked Questions on LCM of 219 and 221
1. What is the LCM of 219 and 221?
Answer: LCM of 219 and 221 is 48399.
2. What are the Factors of 219?
Answer: Factors of 219 are 1, 3, 73, 219. There are 4 integers that are factors of 219. The greatest factor of 219 is 219.
3. What are the Factors of 221?
Answer: Factors of 221 are 1, 13, 17, 221. There are 4 integers that are factors of 221. The greatest factor of 221 is 221.
4. How to Find the LCM of 219 and 221?
Answer:
Least Common Multiple of 219 and 221 = 48399
Step 1: Find the prime factorization of 219
219 = 3 x 73
Step 2: Find the prime factorization of 221
221 = 13 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48399 = 3 x 13 x 17 x 73
Step 4: Therefore, the least common multiple of 219 and 221 is 48399.
