Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 221 and 229 the smallest integer that is 50609 that is divisible by both numbers.
Least Common Multiple (LCM) of 221 and 229 is 50609.
LCM(221,229) = 50609
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 221 and 229. First we will calculate the prime factors of 221 and 229.
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
Prime Factorization of 229
229 | 229 |
1 |
Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:
229 = 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 221 and 229.
LCM(221,229) = 131×171×2291
LCM(221,229) = 50609
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1, 229
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221 and 229, than apply into the LCM equation.
GCF(221,229) = 1
LCM(221,229) = ( 221 × 229) / 1
LCM(221,229) = 50609 / 1
LCM(221,229) = 50609
(i) The LCM of 229 and 221 is associative
LCM of 221 and 229 = LCM of 229 and 221
1. What is the LCM of 221 and 229?
Answer: LCM of 221 and 229 is 50609.
2. 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.
3. What are the Factors of 229?
Answer: Factors of 229 are 1, 229. There are 2 integers that are factors of 229. The greatest factor of 229 is 229.
4. How to Find the LCM of 221 and 229?
Answer:
Least Common Multiple of 221 and 229 = 50609
Step 1: Find the prime factorization of 221
221 = 13 x 17
Step 2: Find the prime factorization of 229
229 = 229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50609 = 13 x 17 x 229
Step 4: Therefore, the least common multiple of 221 and 229 is 50609.