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 1206 the smallest integer that is 483606 that is divisible by both numbers.
Least Common Multiple (LCM) of 1203 and 1206 is 483606.
LCM(1203,1206) = 483606
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 1206. First we will calculate the prime factors of 1203 and 1206.
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 1206
2 | 1206 |
3 | 603 |
3 | 201 |
67 | 67 |
1 |
Prime factors of 1206 are 2, 3,67. Prime factorization of 1206 in exponential form is:
1206 = 21×32×671
Now multiplying the highest exponent prime factors to calculate the LCM of 1203 and 1206.
LCM(1203,1206) = 21×32×671×4011
LCM(1203,1206) = 483606
Factors of 1203
List of positive integer factors of 1203 that divides 1203 without a remainder.
1, 3, 401, 1203
Factors of 1206
List of positive integer factors of 1206 that divides 1206 without a remainder.
1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1203 and 1206, than apply into the LCM equation.
GCF(1203,1206) = 3
LCM(1203,1206) = ( 1203 × 1206) / 3
LCM(1203,1206) = 1450818 / 3
LCM(1203,1206) = 483606
(i) The LCM of 1206 and 1203 is associative
LCM of 1203 and 1206 = LCM of 1206 and 1203
1. What is the LCM of 1203 and 1206?
Answer: LCM of 1203 and 1206 is 483606.
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 1206?
Answer: Factors of 1206 are 1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206. There are 12 integers that are factors of 1206. The greatest factor of 1206 is 1206.
4. How to Find the LCM of 1203 and 1206?
Answer:
Least Common Multiple of 1203 and 1206 = 483606
Step 1: Find the prime factorization of 1203
1203 = 3 x 401
Step 2: Find the prime factorization of 1206
1206 = 2 x 3 x 3 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 483606 = 2 x 3 x 3 x 67 x 401
Step 4: Therefore, the least common multiple of 1203 and 1206 is 483606.