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 1237 the smallest integer that is 1523984 that is divisible by both numbers.
Least Common Multiple (LCM) of 1232 and 1237 is 1523984.
LCM(1232,1237) = 1523984
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 1237. First we will calculate the prime factors of 1232 and 1237.
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 1237
1237 | 1237 |
1 |
Prime factors of 1237 are 1237. Prime factorization of 1237 in exponential form is:
1237 = 12371
Now multiplying the highest exponent prime factors to calculate the LCM of 1232 and 1237.
LCM(1232,1237) = 24×71×111×12371
LCM(1232,1237) = 1523984
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 1237
List of positive integer factors of 1237 that divides 1237 without a remainder.
1, 1237
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1232 and 1237, than apply into the LCM equation.
GCF(1232,1237) = 1
LCM(1232,1237) = ( 1232 × 1237) / 1
LCM(1232,1237) = 1523984 / 1
LCM(1232,1237) = 1523984
(i) The LCM of 1237 and 1232 is associative
LCM of 1232 and 1237 = LCM of 1237 and 1232
1. What is the LCM of 1232 and 1237?
Answer: LCM of 1232 and 1237 is 1523984.
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 1237?
Answer: Factors of 1237 are 1, 1237. There are 2 integers that are factors of 1237. The greatest factor of 1237 is 1237.
4. How to Find the LCM of 1232 and 1237?
Answer:
Least Common Multiple of 1232 and 1237 = 1523984
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 1237
1237 = 1237
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1523984 = 2 x 2 x 2 x 2 x 7 x 11 x 1237
Step 4: Therefore, the least common multiple of 1232 and 1237 is 1523984.