Least Common Multiple of 1207 and 1214
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 1214 the smallest integer that is 1465298 that is divisible by both numbers.
Least Common Multiple (LCM) of 1207 and 1214 is 1465298.
LCM(1207,1214) = 1465298
LCM of 1207 and 1214
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1207 and 1214 by Prime method
- Least Common Multiple of 1207 and 1214 with GCF Formula
LCM of 1207 and 1214 is 1465298
Least common multiple can be found by multiplying the highest exponent prime factors of 1207 and 1214. First we will calculate the prime factors of 1207 and 1214.
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 1214
| 2 | 1214 |
| 607 | 607 |
| 1 |
Prime factors of 1214 are 2,607. Prime factorization of 1214 in exponential form is:
1214 = 21×6071
Now multiplying the highest exponent prime factors to calculate the LCM of 1207 and 1214.
LCM(1207,1214) = 21×171×711×6071
LCM(1207,1214) = 1465298
Factors of 1207
List of positive integer factors of 1207 that divides 1207 without a remainder.
1, 17, 71, 1207
Factors of 1214
List of positive integer factors of 1214 that divides 1214 without a remainder.
1, 2, 607, 1214
Least Common Multiple of 1207 and 1214 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 1214, than apply into the LCM equation.
GCF(1207,1214) = 1
LCM(1207,1214) = ( 1207 × 1214) / 1
LCM(1207,1214) = 1465298 / 1
LCM(1207,1214) = 1465298
Properties of LCM 1207 and 1214
(i) The LCM of 1214 and 1207 is associative
LCM of 1207 and 1214 = LCM of 1214 and 1207
Related Least Common Multiples of 1207
Related Least Common Multiples of 1214
Frequently Asked Questions on LCM of 1207 and 1214
1. What is the LCM of 1207 and 1214?
Answer: LCM of 1207 and 1214 is 1465298.
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 1214?
Answer: Factors of 1214 are 1, 2, 607, 1214. There are 4 integers that are factors of 1214. The greatest factor of 1214 is 1214.
4. How to Find the LCM of 1207 and 1214?
Answer:
Least Common Multiple of 1207 and 1214 = 1465298
Step 1: Find the prime factorization of 1207
1207 = 17 x 71
Step 2: Find the prime factorization of 1214
1214 = 2 x 607
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1465298 = 2 x 17 x 71 x 607
Step 4: Therefore, the least common multiple of 1207 and 1214 is 1465298.
