Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1232 and 1233 the smallest integer that is 1519056 that is divisible by both numbers.
Least Common Multiple (LCM) of 1232 and 1233 is 1519056.
LCM(1232,1233) = 1519056
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 1232 and 1233. First we will calculate the prime factors of 1232 and 1233.
Prime Factorization of 1232
2 | 1232 |
2 | 616 |
2 | 308 |
2 | 154 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 1232 are 2, 7,11. Prime factorization of 1232 in exponential form is:
1232 = 24×71×111
Prime Factorization of 1233
3 | 1233 |
3 | 411 |
137 | 137 |
1 |
Prime factors of 1233 are 3,137. Prime factorization of 1233 in exponential form is:
1233 = 32×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 1232 and 1233.
LCM(1232,1233) = 24×32×71×111×1371
LCM(1232,1233) = 1519056
Factors of 1232
List of positive integer factors of 1232 that divides 1232 without a remainder.
1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232
Factors of 1233
List of positive integer factors of 1233 that divides 1233 without a remainder.
1, 3, 9, 137, 411, 1233
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1232 and 1233, than apply into the LCM equation.
GCF(1232,1233) = 1
LCM(1232,1233) = ( 1232 × 1233) / 1
LCM(1232,1233) = 1519056 / 1
LCM(1232,1233) = 1519056
(i) The LCM of 1233 and 1232 is associative
LCM of 1232 and 1233 = LCM of 1233 and 1232
1. What is the LCM of 1232 and 1233?
Answer: LCM of 1232 and 1233 is 1519056.
2. What are the Factors of 1232?
Answer: Factors of 1232 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232. There are 20 integers that are factors of 1232. The greatest factor of 1232 is 1232.
3. What are the Factors of 1233?
Answer: Factors of 1233 are 1, 3, 9, 137, 411, 1233. There are 6 integers that are factors of 1233. The greatest factor of 1233 is 1233.
4. How to Find the LCM of 1232 and 1233?
Answer:
Least Common Multiple of 1232 and 1233 = 1519056
Step 1: Find the prime factorization of 1232
1232 = 2 x 2 x 2 x 2 x 7 x 11
Step 2: Find the prime factorization of 1233
1233 = 3 x 3 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1519056 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 137
Step 4: Therefore, the least common multiple of 1232 and 1233 is 1519056.