Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3221 and 3226 the smallest integer that is 10390946 that is divisible by both numbers.
Least Common Multiple (LCM) of 3221 and 3226 is 10390946.
LCM(3221,3226) = 10390946
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 3221 and 3226. First we will calculate the prime factors of 3221 and 3226.
Prime Factorization of 3221
3221 | 3221 |
1 |
Prime factors of 3221 are 3221. Prime factorization of 3221 in exponential form is:
3221 = 32211
Prime Factorization of 3226
2 | 3226 |
1613 | 1613 |
1 |
Prime factors of 3226 are 2,1613. Prime factorization of 3226 in exponential form is:
3226 = 21×16131
Now multiplying the highest exponent prime factors to calculate the LCM of 3221 and 3226.
LCM(3221,3226) = 21×16131×32211
LCM(3221,3226) = 10390946
Factors of 3221
List of positive integer factors of 3221 that divides 3221 without a remainder.
1, 3221
Factors of 3226
List of positive integer factors of 3226 that divides 3226 without a remainder.
1, 2, 1613, 3226
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3221 and 3226, than apply into the LCM equation.
GCF(3221,3226) = 1
LCM(3221,3226) = ( 3221 × 3226) / 1
LCM(3221,3226) = 10390946 / 1
LCM(3221,3226) = 10390946
(i) The LCM of 3226 and 3221 is associative
LCM of 3221 and 3226 = LCM of 3226 and 3221
1. What is the LCM of 3221 and 3226?
Answer: LCM of 3221 and 3226 is 10390946.
2. What are the Factors of 3221?
Answer: Factors of 3221 are 1, 3221. There are 2 integers that are factors of 3221. The greatest factor of 3221 is 3221.
3. What are the Factors of 3226?
Answer: Factors of 3226 are 1, 2, 1613, 3226. There are 4 integers that are factors of 3226. The greatest factor of 3226 is 3226.
4. How to Find the LCM of 3221 and 3226?
Answer:
Least Common Multiple of 3221 and 3226 = 10390946
Step 1: Find the prime factorization of 3221
3221 = 3221
Step 2: Find the prime factorization of 3226
3226 = 2 x 1613
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10390946 = 2 x 1613 x 3221
Step 4: Therefore, the least common multiple of 3221 and 3226 is 10390946.