Least Common Multiple of 12239 and 12245
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 12239 and 12245 the smallest integer that is 149866555 that is divisible by both numbers.
Least Common Multiple (LCM) of 12239 and 12245 is 149866555.
LCM(12239,12245) = 149866555
LCM of 12239 and 12245
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 12239 and 12245 by Prime method
- Least Common Multiple of 12239 and 12245 with GCF Formula
LCM of 12239 and 12245 is 149866555
Least common multiple can be found by multiplying the highest exponent prime factors of 12239 and 12245. First we will calculate the prime factors of 12239 and 12245.
Prime Factorization of 12239
| 12239 | 12239 |
| 1 |
Prime factors of 12239 are 12239. Prime factorization of 12239 in exponential form is:
12239 = 122391
Prime Factorization of 12245
| 5 | 12245 |
| 31 | 2449 |
| 79 | 79 |
| 1 |
Prime factors of 12245 are 5, 31,79. Prime factorization of 12245 in exponential form is:
12245 = 51×311×791
Now multiplying the highest exponent prime factors to calculate the LCM of 12239 and 12245.
LCM(12239,12245) = 51×311×791×122391
LCM(12239,12245) = 149866555
Factors of 12239
List of positive integer factors of 12239 that divides 12239 without a remainder.
1, 12239
Factors of 12245
List of positive integer factors of 12245 that divides 12245 without a remainder.
1, 5, 31, 79, 155, 395, 2449, 12245
Least Common Multiple of 12239 and 12245 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12239 and 12245, than apply into the LCM equation.
GCF(12239,12245) = 1
LCM(12239,12245) = ( 12239 × 12245) / 1
LCM(12239,12245) = 149866555 / 1
LCM(12239,12245) = 149866555
Properties of LCM 12239 and 12245
(i) The LCM of 12245 and 12239 is associative
LCM of 12239 and 12245 = LCM of 12245 and 12239
Related Least Common Multiples of 12239
Related Least Common Multiples of 12245
Frequently Asked Questions on LCM of 12239 and 12245
1. What is the LCM of 12239 and 12245?
Answer: LCM of 12239 and 12245 is 149866555.
2. What are the Factors of 12239?
Answer: Factors of 12239 are 1, 12239. There are 2 integers that are factors of 12239. The greatest factor of 12239 is 12239.
3. What are the Factors of 12245?
Answer: Factors of 12245 are 1, 5, 31, 79, 155, 395, 2449, 12245. There are 8 integers that are factors of 12245. The greatest factor of 12245 is 12245.
4. How to Find the LCM of 12239 and 12245?
Answer:
Least Common Multiple of 12239 and 12245 = 149866555
Step 1: Find the prime factorization of 12239
12239 = 12239
Step 2: Find the prime factorization of 12245
12245 = 5 x 31 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 149866555 = 5 x 31 x 79 x 12239
Step 4: Therefore, the least common multiple of 12239 and 12245 is 149866555.