Least Common Multiple of 3207 and 3211
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3207 and 3211 the smallest integer that is 10297677 that is divisible by both numbers.
Least Common Multiple (LCM) of 3207 and 3211 is 10297677.
LCM(3207,3211) = 10297677
LCM of 3207 and 3211
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3207 and 3211 by Prime method
- Least Common Multiple of 3207 and 3211 with GCF Formula
LCM of 3207 and 3211 is 10297677
Least common multiple can be found by multiplying the highest exponent prime factors of 3207 and 3211. First we will calculate the prime factors of 3207 and 3211.
Prime Factorization of 3207
| 3 | 3207 |
| 1069 | 1069 |
| 1 |
Prime factors of 3207 are 3,1069. Prime factorization of 3207 in exponential form is:
3207 = 31×10691
Prime Factorization of 3211
| 13 | 3211 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 3211 are 13,19. Prime factorization of 3211 in exponential form is:
3211 = 132×191
Now multiplying the highest exponent prime factors to calculate the LCM of 3207 and 3211.
LCM(3207,3211) = 31×132×191×10691
LCM(3207,3211) = 10297677
Factors of 3207
List of positive integer factors of 3207 that divides 3207 without a remainder.
1, 3, 1069, 3207
Factors of 3211
List of positive integer factors of 3211 that divides 3211 without a remainder.
1, 13, 19, 169, 247, 3211
Least Common Multiple of 3207 and 3211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3207 and 3211, than apply into the LCM equation.
GCF(3207,3211) = 1
LCM(3207,3211) = ( 3207 × 3211) / 1
LCM(3207,3211) = 10297677 / 1
LCM(3207,3211) = 10297677
Properties of LCM 3207 and 3211
(i) The LCM of 3211 and 3207 is associative
LCM of 3207 and 3211 = LCM of 3211 and 3207
Related Least Common Multiples of 3207
Related Least Common Multiples of 3211
Frequently Asked Questions on LCM of 3207 and 3211
1. What is the LCM of 3207 and 3211?
Answer: LCM of 3207 and 3211 is 10297677.
2. What are the Factors of 3207?
Answer: Factors of 3207 are 1, 3, 1069, 3207. There are 4 integers that are factors of 3207. The greatest factor of 3207 is 3207.
3. What are the Factors of 3211?
Answer: Factors of 3211 are 1, 13, 19, 169, 247, 3211. There are 6 integers that are factors of 3211. The greatest factor of 3211 is 3211.
4. How to Find the LCM of 3207 and 3211?
Answer:
Least Common Multiple of 3207 and 3211 = 10297677
Step 1: Find the prime factorization of 3207
3207 = 3 x 1069
Step 2: Find the prime factorization of 3211
3211 = 13 x 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10297677 = 3 x 13 x 13 x 19 x 1069
Step 4: Therefore, the least common multiple of 3207 and 3211 is 10297677.