Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1203 and 1211 the smallest integer that is 1456833 that is divisible by both numbers.
Least Common Multiple (LCM) of 1203 and 1211 is 1456833.
LCM(1203,1211) = 1456833
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 1203 and 1211. First we will calculate the prime factors of 1203 and 1211.
Prime Factorization of 1203
3 | 1203 |
401 | 401 |
1 |
Prime factors of 1203 are 3,401. Prime factorization of 1203 in exponential form is:
1203 = 31×4011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1203 and 1211.
LCM(1203,1211) = 31×71×1731×4011
LCM(1203,1211) = 1456833
Factors of 1203
List of positive integer factors of 1203 that divides 1203 without a remainder.
1, 3, 401, 1203
Factors of 1211
List of positive integer factors of 1211 that divides 1211 without a remainder.
1, 7, 173, 1211
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1203 and 1211, than apply into the LCM equation.
GCF(1203,1211) = 1
LCM(1203,1211) = ( 1203 × 1211) / 1
LCM(1203,1211) = 1456833 / 1
LCM(1203,1211) = 1456833
(i) The LCM of 1211 and 1203 is associative
LCM of 1203 and 1211 = LCM of 1211 and 1203
1. What is the LCM of 1203 and 1211?
Answer: LCM of 1203 and 1211 is 1456833.
2. What are the Factors of 1203?
Answer: Factors of 1203 are 1, 3, 401, 1203. There are 4 integers that are factors of 1203. The greatest factor of 1203 is 1203.
3. 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.
4. How to Find the LCM of 1203 and 1211?
Answer:
Least Common Multiple of 1203 and 1211 = 1456833
Step 1: Find the prime factorization of 1203
1203 = 3 x 401
Step 2: Find the prime factorization of 1211
1211 = 7 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1456833 = 3 x 7 x 173 x 401
Step 4: Therefore, the least common multiple of 1203 and 1211 is 1456833.