Least Common Multiple of 1207 and 1209
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 1209 the smallest integer that is 1459263 that is divisible by both numbers.
Least Common Multiple (LCM) of 1207 and 1209 is 1459263.
LCM(1207,1209) = 1459263
LCM of 1207 and 1209
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1207 and 1209 by Prime method
- Least Common Multiple of 1207 and 1209 with GCF Formula
LCM of 1207 and 1209 is 1459263
Least common multiple can be found by multiplying the highest exponent prime factors of 1207 and 1209. First we will calculate the prime factors of 1207 and 1209.
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 1209
| 3 | 1209 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 1209 are 3, 13,31. Prime factorization of 1209 in exponential form is:
1209 = 31×131×311
Now multiplying the highest exponent prime factors to calculate the LCM of 1207 and 1209.
LCM(1207,1209) = 31×131×171×311×711
LCM(1207,1209) = 1459263
Factors of 1207
List of positive integer factors of 1207 that divides 1207 without a remainder.
1, 17, 71, 1207
Factors of 1209
List of positive integer factors of 1209 that divides 1209 without a remainder.
1, 3, 13, 31, 39, 93, 403, 1209
Least Common Multiple of 1207 and 1209 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 1209, than apply into the LCM equation.
GCF(1207,1209) = 1
LCM(1207,1209) = ( 1207 × 1209) / 1
LCM(1207,1209) = 1459263 / 1
LCM(1207,1209) = 1459263
Properties of LCM 1207 and 1209
(i) The LCM of 1209 and 1207 is associative
LCM of 1207 and 1209 = LCM of 1209 and 1207
Related Least Common Multiples of 1207
Related Least Common Multiples of 1209
Frequently Asked Questions on LCM of 1207 and 1209
1. What is the LCM of 1207 and 1209?
Answer: LCM of 1207 and 1209 is 1459263.
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 1209?
Answer: Factors of 1209 are 1, 3, 13, 31, 39, 93, 403, 1209. There are 8 integers that are factors of 1209. The greatest factor of 1209 is 1209.
4. How to Find the LCM of 1207 and 1209?
Answer:
Least Common Multiple of 1207 and 1209 = 1459263
Step 1: Find the prime factorization of 1207
1207 = 17 x 71
Step 2: Find the prime factorization of 1209
1209 = 3 x 13 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1459263 = 3 x 13 x 17 x 31 x 71
Step 4: Therefore, the least common multiple of 1207 and 1209 is 1459263.
