Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1211 and 1217 the smallest integer that is 1473787 that is divisible by both numbers.
Least Common Multiple (LCM) of 1211 and 1217 is 1473787.
LCM(1211,1217) = 1473787
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1211 and 1217. First we will calculate the prime factors of 1211 and 1217.
Prime Factorization of 1211
7 | 1211 |
173 | 173 |
1 |
Prime factors of 1211 are 7,173. Prime factorization of 1211 in exponential form is:
1211 = 71×1731
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 1211 and 1217.
LCM(1211,1217) = 71×1731×12171
LCM(1211,1217) = 1473787
Factors of 1211
List of positive integer factors of 1211 that divides 1211 without a remainder.
1, 7, 173, 1211
Factors of 1217
List of positive integer factors of 1217 that divides 1217 without a remainder.
1, 1217
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1211 and 1217, than apply into the LCM equation.
GCF(1211,1217) = 1
LCM(1211,1217) = ( 1211 × 1217) / 1
LCM(1211,1217) = 1473787 / 1
LCM(1211,1217) = 1473787
(i) The LCM of 1217 and 1211 is associative
LCM of 1211 and 1217 = LCM of 1217 and 1211
1. What is the LCM of 1211 and 1217?
Answer: LCM of 1211 and 1217 is 1473787.
2. What are the Factors of 1211?
Answer: Factors of 1211 are 1, 7, 173, 1211. There are 4 integers that are factors of 1211. The greatest factor of 1211 is 1211.
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 1211 and 1217?
Answer:
Least Common Multiple of 1211 and 1217 = 1473787
Step 1: Find the prime factorization of 1211
1211 = 7 x 173
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 = 1473787 = 7 x 173 x 1217
Step 4: Therefore, the least common multiple of 1211 and 1217 is 1473787.