Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6221 and 6229 the smallest integer that is 38750609 that is divisible by both numbers.
Least Common Multiple (LCM) of 6221 and 6229 is 38750609.
LCM(6221,6229) = 38750609
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 6221 and 6229. First we will calculate the prime factors of 6221 and 6229.
Prime Factorization of 6221
6221 | 6221 |
1 |
Prime factors of 6221 are 6221. Prime factorization of 6221 in exponential form is:
6221 = 62211
Prime Factorization of 6229
6229 | 6229 |
1 |
Prime factors of 6229 are 6229. Prime factorization of 6229 in exponential form is:
6229 = 62291
Now multiplying the highest exponent prime factors to calculate the LCM of 6221 and 6229.
LCM(6221,6229) = 62211×62291
LCM(6221,6229) = 38750609
Factors of 6221
List of positive integer factors of 6221 that divides 6221 without a remainder.
1, 6221
Factors of 6229
List of positive integer factors of 6229 that divides 6229 without a remainder.
1, 6229
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6221 and 6229, than apply into the LCM equation.
GCF(6221,6229) = 1
LCM(6221,6229) = ( 6221 × 6229) / 1
LCM(6221,6229) = 38750609 / 1
LCM(6221,6229) = 38750609
(i) The LCM of 6229 and 6221 is associative
LCM of 6221 and 6229 = LCM of 6229 and 6221
1. What is the LCM of 6221 and 6229?
Answer: LCM of 6221 and 6229 is 38750609.
2. What are the Factors of 6221?
Answer: Factors of 6221 are 1, 6221. There are 2 integers that are factors of 6221. The greatest factor of 6221 is 6221.
3. What are the Factors of 6229?
Answer: Factors of 6229 are 1, 6229. There are 2 integers that are factors of 6229. The greatest factor of 6229 is 6229.
4. How to Find the LCM of 6221 and 6229?
Answer:
Least Common Multiple of 6221 and 6229 = 38750609
Step 1: Find the prime factorization of 6221
6221 = 6221
Step 2: Find the prime factorization of 6229
6229 = 6229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38750609 = 6221 x 6229
Step 4: Therefore, the least common multiple of 6221 and 6229 is 38750609.