Least Common Multiple of 1209 and 1217
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 1217 the smallest integer that is 1471353 that is divisible by both numbers.
Least Common Multiple (LCM) of 1209 and 1217 is 1471353.
LCM(1209,1217) = 1471353
LCM of 1209 and 1217
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1209 and 1217 by Prime method
- Least Common Multiple of 1209 and 1217 with GCF Formula
LCM of 1209 and 1217 is 1471353
Least common multiple can be found by multiplying the highest exponent prime factors of 1209 and 1217. First we will calculate the prime factors of 1209 and 1217.
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 1217
| 1217 | 1217 |
| 1 |
Prime factors of 1217 are 1217. Prime factorization of 1217 in exponential form is:
1217 = 12171
Now multiplying the highest exponent prime factors to calculate the LCM of 1209 and 1217.
LCM(1209,1217) = 31×131×311×12171
LCM(1209,1217) = 1471353
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 1217
List of positive integer factors of 1217 that divides 1217 without a remainder.
1, 1217
Least Common Multiple of 1209 and 1217 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 1217, than apply into the LCM equation.
GCF(1209,1217) = 1
LCM(1209,1217) = ( 1209 × 1217) / 1
LCM(1209,1217) = 1471353 / 1
LCM(1209,1217) = 1471353
Properties of LCM 1209 and 1217
(i) The LCM of 1217 and 1209 is associative
LCM of 1209 and 1217 = LCM of 1217 and 1209
Related Least Common Multiples of 1209
Related Least Common Multiples of 1217
Frequently Asked Questions on LCM of 1209 and 1217
1. What is the LCM of 1209 and 1217?
Answer: LCM of 1209 and 1217 is 1471353.
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 1217?
Answer: Factors of 1217 are 1, 1217. There are 2 integers that are factors of 1217. The greatest factor of 1217 is 1217.
4. How to Find the LCM of 1209 and 1217?
Answer:
Least Common Multiple of 1209 and 1217 = 1471353
Step 1: Find the prime factorization of 1209
1209 = 3 x 13 x 31
Step 2: Find the prime factorization of 1217
1217 = 1217
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1471353 = 3 x 13 x 31 x 1217
Step 4: Therefore, the least common multiple of 1209 and 1217 is 1471353.
