Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 12203 and 12208 the smallest integer that is 148974224 that is divisible by both numbers.
Least Common Multiple (LCM) of 12203 and 12208 is 148974224.
LCM(12203,12208) = 148974224
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 12203 and 12208. First we will calculate the prime factors of 12203 and 12208.
Prime Factorization of 12203
12203 | 12203 |
1 |
Prime factors of 12203 are 12203. Prime factorization of 12203 in exponential form is:
12203 = 122031
Prime Factorization of 12208
2 | 12208 |
2 | 6104 |
2 | 3052 |
2 | 1526 |
7 | 763 |
109 | 109 |
1 |
Prime factors of 12208 are 2, 7,109. Prime factorization of 12208 in exponential form is:
12208 = 24×71×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 12203 and 12208.
LCM(12203,12208) = 24×71×1091×122031
LCM(12203,12208) = 148974224
Factors of 12203
List of positive integer factors of 12203 that divides 12203 without a remainder.
1, 12203
Factors of 12208
List of positive integer factors of 12208 that divides 12208 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 109, 112, 218, 436, 763, 872, 1526, 1744, 3052, 6104, 12208
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12203 and 12208, than apply into the LCM equation.
GCF(12203,12208) = 1
LCM(12203,12208) = ( 12203 × 12208) / 1
LCM(12203,12208) = 148974224 / 1
LCM(12203,12208) = 148974224
(i) The LCM of 12208 and 12203 is associative
LCM of 12203 and 12208 = LCM of 12208 and 12203
1. What is the LCM of 12203 and 12208?
Answer: LCM of 12203 and 12208 is 148974224.
2. What are the Factors of 12203?
Answer: Factors of 12203 are 1, 12203. There are 2 integers that are factors of 12203. The greatest factor of 12203 is 12203.
3. What are the Factors of 12208?
Answer: Factors of 12208 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 109, 112, 218, 436, 763, 872, 1526, 1744, 3052, 6104, 12208. There are 20 integers that are factors of 12208. The greatest factor of 12208 is 12208.
4. How to Find the LCM of 12203 and 12208?
Answer:
Least Common Multiple of 12203 and 12208 = 148974224
Step 1: Find the prime factorization of 12203
12203 = 12203
Step 2: Find the prime factorization of 12208
12208 = 2 x 2 x 2 x 2 x 7 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 148974224 = 2 x 2 x 2 x 2 x 7 x 109 x 12203
Step 4: Therefore, the least common multiple of 12203 and 12208 is 148974224.