Least Common Multiple of 1207 and 1211
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1207 and 1211 the smallest integer that is 1461677 that is divisible by both numbers.
Least Common Multiple (LCM) of 1207 and 1211 is 1461677.
LCM(1207,1211) = 1461677
LCM of 1207 and 1211
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1207 and 1211 by Prime method
- Least Common Multiple of 1207 and 1211 with GCF Formula
LCM of 1207 and 1211 is 1461677
Least common multiple can be found by multiplying the highest exponent prime factors of 1207 and 1211. First we will calculate the prime factors of 1207 and 1211.
Prime Factorization of 1207
| 17 | 1207 |
| 71 | 71 |
| 1 |
Prime factors of 1207 are 17,71. Prime factorization of 1207 in exponential form is:
1207 = 171×711
Prime Factorization of 1211
| 7 | 1211 |
| 173 | 173 |
| 1 |
Prime factors of 1211 are 7,173. Prime factorization of 1211 in exponential form is:
1211 = 71×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 1207 and 1211.
LCM(1207,1211) = 71×171×711×1731
LCM(1207,1211) = 1461677
Factors of 1207
List of positive integer factors of 1207 that divides 1207 without a remainder.
1, 17, 71, 1207
Factors of 1211
List of positive integer factors of 1211 that divides 1211 without a remainder.
1, 7, 173, 1211
Least Common Multiple of 1207 and 1211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1207 and 1211, than apply into the LCM equation.
GCF(1207,1211) = 1
LCM(1207,1211) = ( 1207 × 1211) / 1
LCM(1207,1211) = 1461677 / 1
LCM(1207,1211) = 1461677
Properties of LCM 1207 and 1211
(i) The LCM of 1211 and 1207 is associative
LCM of 1207 and 1211 = LCM of 1211 and 1207
Related Least Common Multiples of 1207
Related Least Common Multiples of 1211
Frequently Asked Questions on LCM of 1207 and 1211
1. What is the LCM of 1207 and 1211?
Answer: LCM of 1207 and 1211 is 1461677.
2. What are the Factors of 1207?
Answer: Factors of 1207 are 1, 17, 71, 1207. There are 4 integers that are factors of 1207. The greatest factor of 1207 is 1207.
3. What are the Factors of 1211?
Answer: Factors of 1211 are 1, 7, 173, 1211. There are 4 integers that are factors of 1211. The greatest factor of 1211 is 1211.
4. How to Find the LCM of 1207 and 1211?
Answer:
Least Common Multiple of 1207 and 1211 = 1461677
Step 1: Find the prime factorization of 1207
1207 = 17 x 71
Step 2: Find the prime factorization of 1211
1211 = 7 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1461677 = 7 x 17 x 71 x 173
Step 4: Therefore, the least common multiple of 1207 and 1211 is 1461677.
