Least Common Multiple of 3219 and 3223
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3219 and 3223 the smallest integer that is 10374837 that is divisible by both numbers.
Least Common Multiple (LCM) of 3219 and 3223 is 10374837.
LCM(3219,3223) = 10374837
LCM of 3219 and 3223
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3219 and 3223 by Prime method
- Least Common Multiple of 3219 and 3223 with GCF Formula
LCM of 3219 and 3223 is 10374837
Least common multiple can be found by multiplying the highest exponent prime factors of 3219 and 3223. First we will calculate the prime factors of 3219 and 3223.
Prime Factorization of 3219
| 3 | 3219 |
| 29 | 1073 |
| 37 | 37 |
| 1 |
Prime factors of 3219 are 3, 29,37. Prime factorization of 3219 in exponential form is:
3219 = 31×291×371
Prime Factorization of 3223
| 11 | 3223 |
| 293 | 293 |
| 1 |
Prime factors of 3223 are 11,293. Prime factorization of 3223 in exponential form is:
3223 = 111×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 3219 and 3223.
LCM(3219,3223) = 31×111×291×371×2931
LCM(3219,3223) = 10374837
Factors of 3219
List of positive integer factors of 3219 that divides 3219 without a remainder.
1, 3, 29, 37, 87, 111, 1073, 3219
Factors of 3223
List of positive integer factors of 3223 that divides 3223 without a remainder.
1, 11, 293, 3223
Least Common Multiple of 3219 and 3223 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3219 and 3223, than apply into the LCM equation.
GCF(3219,3223) = 1
LCM(3219,3223) = ( 3219 × 3223) / 1
LCM(3219,3223) = 10374837 / 1
LCM(3219,3223) = 10374837
Properties of LCM 3219 and 3223
(i) The LCM of 3223 and 3219 is associative
LCM of 3219 and 3223 = LCM of 3223 and 3219
Related Least Common Multiples of 3219
Related Least Common Multiples of 3223
Frequently Asked Questions on LCM of 3219 and 3223
1. What is the LCM of 3219 and 3223?
Answer: LCM of 3219 and 3223 is 10374837.
2. What are the Factors of 3219?
Answer: Factors of 3219 are 1, 3, 29, 37, 87, 111, 1073, 3219. There are 8 integers that are factors of 3219. The greatest factor of 3219 is 3219.
3. What are the Factors of 3223?
Answer: Factors of 3223 are 1, 11, 293, 3223. There are 4 integers that are factors of 3223. The greatest factor of 3223 is 3223.
4. How to Find the LCM of 3219 and 3223?
Answer:
Least Common Multiple of 3219 and 3223 = 10374837
Step 1: Find the prime factorization of 3219
3219 = 3 x 29 x 37
Step 2: Find the prime factorization of 3223
3223 = 11 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10374837 = 3 x 11 x 29 x 37 x 293
Step 4: Therefore, the least common multiple of 3219 and 3223 is 10374837.