Least Common Multiple of 12233 and 12237
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 12233 and 12237 the smallest integer that is 149695221 that is divisible by both numbers.
Least Common Multiple (LCM) of 12233 and 12237 is 149695221.
LCM(12233,12237) = 149695221
LCM of 12233 and 12237
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 12233 and 12237 by Prime method
- Least Common Multiple of 12233 and 12237 with GCF Formula
LCM of 12233 and 12237 is 149695221
Least common multiple can be found by multiplying the highest exponent prime factors of 12233 and 12237. First we will calculate the prime factors of 12233 and 12237.
Prime Factorization of 12233
| 13 | 12233 |
| 941 | 941 |
| 1 |
Prime factors of 12233 are 13,941. Prime factorization of 12233 in exponential form is:
12233 = 131×9411
Prime Factorization of 12237
| 3 | 12237 |
| 4079 | 4079 |
| 1 |
Prime factors of 12237 are 3,4079. Prime factorization of 12237 in exponential form is:
12237 = 31×40791
Now multiplying the highest exponent prime factors to calculate the LCM of 12233 and 12237.
LCM(12233,12237) = 31×131×9411×40791
LCM(12233,12237) = 149695221
Factors of 12233
List of positive integer factors of 12233 that divides 12233 without a remainder.
1, 13, 941, 12233
Factors of 12237
List of positive integer factors of 12237 that divides 12237 without a remainder.
1, 3, 4079, 12237
Least Common Multiple of 12233 and 12237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12233 and 12237, than apply into the LCM equation.
GCF(12233,12237) = 1
LCM(12233,12237) = ( 12233 × 12237) / 1
LCM(12233,12237) = 149695221 / 1
LCM(12233,12237) = 149695221
Properties of LCM 12233 and 12237
(i) The LCM of 12237 and 12233 is associative
LCM of 12233 and 12237 = LCM of 12237 and 12233
Related Least Common Multiples of 12233
Related Least Common Multiples of 12237
Frequently Asked Questions on LCM of 12233 and 12237
1. What is the LCM of 12233 and 12237?
Answer: LCM of 12233 and 12237 is 149695221.
2. What are the Factors of 12233?
Answer: Factors of 12233 are 1, 13, 941, 12233. There are 4 integers that are factors of 12233. The greatest factor of 12233 is 12233.
3. What are the Factors of 12237?
Answer: Factors of 12237 are 1, 3, 4079, 12237. There are 4 integers that are factors of 12237. The greatest factor of 12237 is 12237.
4. How to Find the LCM of 12233 and 12237?
Answer:
Least Common Multiple of 12233 and 12237 = 149695221
Step 1: Find the prime factorization of 12233
12233 = 13 x 941
Step 2: Find the prime factorization of 12237
12237 = 3 x 4079
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 149695221 = 3 x 13 x 941 x 4079
Step 4: Therefore, the least common multiple of 12233 and 12237 is 149695221.