Least Common Multiple of 1209 and 1213
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1209 and 1213 the smallest integer that is 1466517 that is divisible by both numbers.
Least Common Multiple (LCM) of 1209 and 1213 is 1466517.
LCM(1209,1213) = 1466517
LCM of 1209 and 1213
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1209 and 1213 by Prime method
- Least Common Multiple of 1209 and 1213 with GCF Formula
LCM of 1209 and 1213 is 1466517
Least common multiple can be found by multiplying the highest exponent prime factors of 1209 and 1213. First we will calculate the prime factors of 1209 and 1213.
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
Prime Factorization of 1213
| 1213 | 1213 |
| 1 |
Prime factors of 1213 are 1213. Prime factorization of 1213 in exponential form is:
1213 = 12131
Now multiplying the highest exponent prime factors to calculate the LCM of 1209 and 1213.
LCM(1209,1213) = 31×131×311×12131
LCM(1209,1213) = 1466517
Factors of 1209
List of positive integer factors of 1209 that divides 1209 without a remainder.
1, 3, 13, 31, 39, 93, 403, 1209
Factors of 1213
List of positive integer factors of 1213 that divides 1213 without a remainder.
1, 1213
Least Common Multiple of 1209 and 1213 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1209 and 1213, than apply into the LCM equation.
GCF(1209,1213) = 1
LCM(1209,1213) = ( 1209 × 1213) / 1
LCM(1209,1213) = 1466517 / 1
LCM(1209,1213) = 1466517
Properties of LCM 1209 and 1213
(i) The LCM of 1213 and 1209 is associative
LCM of 1209 and 1213 = LCM of 1213 and 1209
Related Least Common Multiples of 1209
Related Least Common Multiples of 1213
Frequently Asked Questions on LCM of 1209 and 1213
1. What is the LCM of 1209 and 1213?
Answer: LCM of 1209 and 1213 is 1466517.
2. 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.
3. What are the Factors of 1213?
Answer: Factors of 1213 are 1, 1213. There are 2 integers that are factors of 1213. The greatest factor of 1213 is 1213.
4. How to Find the LCM of 1209 and 1213?
Answer:
Least Common Multiple of 1209 and 1213 = 1466517
Step 1: Find the prime factorization of 1209
1209 = 3 x 13 x 31
Step 2: Find the prime factorization of 1213
1213 = 1213
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1466517 = 3 x 13 x 31 x 1213
Step 4: Therefore, the least common multiple of 1209 and 1213 is 1466517.