Least Common Multiple of 1205 and 1207
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1205 and 1207 the smallest integer that is 1454435 that is divisible by both numbers.
Least Common Multiple (LCM) of 1205 and 1207 is 1454435.
LCM(1205,1207) = 1454435
LCM of 1205 and 1207
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1205 and 1207 by Prime method
- Least Common Multiple of 1205 and 1207 with GCF Formula
LCM of 1205 and 1207 is 1454435
Least common multiple can be found by multiplying the highest exponent prime factors of 1205 and 1207. First we will calculate the prime factors of 1205 and 1207.
Prime Factorization of 1205
| 5 | 1205 |
| 241 | 241 |
| 1 |
Prime factors of 1205 are 5,241. Prime factorization of 1205 in exponential form is:
1205 = 51×2411
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1205 and 1207.
LCM(1205,1207) = 51×171×711×2411
LCM(1205,1207) = 1454435
Factors of 1205
List of positive integer factors of 1205 that divides 1205 without a remainder.
1, 5, 241, 1205
Factors of 1207
List of positive integer factors of 1207 that divides 1207 without a remainder.
1, 17, 71, 1207
Least Common Multiple of 1205 and 1207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1205 and 1207, than apply into the LCM equation.
GCF(1205,1207) = 1
LCM(1205,1207) = ( 1205 × 1207) / 1
LCM(1205,1207) = 1454435 / 1
LCM(1205,1207) = 1454435
Properties of LCM 1205 and 1207
(i) The LCM of 1207 and 1205 is associative
LCM of 1205 and 1207 = LCM of 1207 and 1205
Related Least Common Multiples of 1205
Related Least Common Multiples of 1207
Frequently Asked Questions on LCM of 1205 and 1207
1. What is the LCM of 1205 and 1207?
Answer: LCM of 1205 and 1207 is 1454435.
2. What are the Factors of 1205?
Answer: Factors of 1205 are 1, 5, 241, 1205. There are 4 integers that are factors of 1205. The greatest factor of 1205 is 1205.
3. 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.
4. How to Find the LCM of 1205 and 1207?
Answer:
Least Common Multiple of 1205 and 1207 = 1454435
Step 1: Find the prime factorization of 1205
1205 = 5 x 241
Step 2: Find the prime factorization of 1207
1207 = 17 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1454435 = 5 x 17 x 71 x 241
Step 4: Therefore, the least common multiple of 1205 and 1207 is 1454435.
