Least Common Multiple of 1217 and 1221
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1217 and 1221 the smallest integer that is 1485957 that is divisible by both numbers.
Least Common Multiple (LCM) of 1217 and 1221 is 1485957.
LCM(1217,1221) = 1485957
LCM of 1217 and 1221
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1217 and 1221 by Prime method
- Least Common Multiple of 1217 and 1221 with GCF Formula
LCM of 1217 and 1221 is 1485957
Least common multiple can be found by multiplying the highest exponent prime factors of 1217 and 1221. First we will calculate the prime factors of 1217 and 1221.
Prime Factorization of 1217
| 1217 | 1217 |
| 1 |
Prime factors of 1217 are 1217. Prime factorization of 1217 in exponential form is:
1217 = 12171
Prime Factorization of 1221
| 3 | 1221 |
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 1221 are 3, 11,37. Prime factorization of 1221 in exponential form is:
1221 = 31×111×371
Now multiplying the highest exponent prime factors to calculate the LCM of 1217 and 1221.
LCM(1217,1221) = 31×111×371×12171
LCM(1217,1221) = 1485957
Factors of 1217
List of positive integer factors of 1217 that divides 1217 without a remainder.
1, 1217
Factors of 1221
List of positive integer factors of 1221 that divides 1221 without a remainder.
1, 3, 11, 33, 37, 111, 407, 1221
Least Common Multiple of 1217 and 1221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1217 and 1221, than apply into the LCM equation.
GCF(1217,1221) = 1
LCM(1217,1221) = ( 1217 × 1221) / 1
LCM(1217,1221) = 1485957 / 1
LCM(1217,1221) = 1485957
Properties of LCM 1217 and 1221
(i) The LCM of 1221 and 1217 is associative
LCM of 1217 and 1221 = LCM of 1221 and 1217
Related Least Common Multiples of 1217
Related Least Common Multiples of 1221
Frequently Asked Questions on LCM of 1217 and 1221
1. What is the LCM of 1217 and 1221?
Answer: LCM of 1217 and 1221 is 1485957.
2. 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.
3. What are the Factors of 1221?
Answer: Factors of 1221 are 1, 3, 11, 33, 37, 111, 407, 1221. There are 8 integers that are factors of 1221. The greatest factor of 1221 is 1221.
4. How to Find the LCM of 1217 and 1221?
Answer:
Least Common Multiple of 1217 and 1221 = 1485957
Step 1: Find the prime factorization of 1217
1217 = 1217
Step 2: Find the prime factorization of 1221
1221 = 3 x 11 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1485957 = 3 x 11 x 37 x 1217
Step 4: Therefore, the least common multiple of 1217 and 1221 is 1485957.
