Least Common Multiple of 1225 and 1231
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1225 and 1231 the smallest integer that is 1507975 that is divisible by both numbers.
Least Common Multiple (LCM) of 1225 and 1231 is 1507975.
LCM(1225,1231) = 1507975
LCM of 1225 and 1231
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1225 and 1231 by Prime method
- Least Common Multiple of 1225 and 1231 with GCF Formula
LCM of 1225 and 1231 is 1507975
Least common multiple can be found by multiplying the highest exponent prime factors of 1225 and 1231. First we will calculate the prime factors of 1225 and 1231.
Prime Factorization of 1225
| 5 | 1225 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 1225 are 5,7. Prime factorization of 1225 in exponential form is:
1225 = 52×72
Prime Factorization of 1231
| 1231 | 1231 |
| 1 |
Prime factors of 1231 are 1231. Prime factorization of 1231 in exponential form is:
1231 = 12311
Now multiplying the highest exponent prime factors to calculate the LCM of 1225 and 1231.
LCM(1225,1231) = 52×72×12311
LCM(1225,1231) = 1507975
Factors of 1225
List of positive integer factors of 1225 that divides 1225 without a remainder.
1, 5, 7, 25, 35, 49, 175, 245, 1225
Factors of 1231
List of positive integer factors of 1231 that divides 1231 without a remainder.
1, 1231
Least Common Multiple of 1225 and 1231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1225 and 1231, than apply into the LCM equation.
GCF(1225,1231) = 1
LCM(1225,1231) = ( 1225 × 1231) / 1
LCM(1225,1231) = 1507975 / 1
LCM(1225,1231) = 1507975
Properties of LCM 1225 and 1231
(i) The LCM of 1231 and 1225 is associative
LCM of 1225 and 1231 = LCM of 1231 and 1225
Related Least Common Multiples of 1225
Related Least Common Multiples of 1231
Frequently Asked Questions on LCM of 1225 and 1231
1. What is the LCM of 1225 and 1231?
Answer: LCM of 1225 and 1231 is 1507975.
2. What are the Factors of 1225?
Answer: Factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225. There are 9 integers that are factors of 1225. The greatest factor of 1225 is 1225.
3. What are the Factors of 1231?
Answer: Factors of 1231 are 1, 1231. There are 2 integers that are factors of 1231. The greatest factor of 1231 is 1231.
4. How to Find the LCM of 1225 and 1231?
Answer:
Least Common Multiple of 1225 and 1231 = 1507975
Step 1: Find the prime factorization of 1225
1225 = 5 x 5 x 7 x 7
Step 2: Find the prime factorization of 1231
1231 = 1231
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1507975 = 5 x 5 x 7 x 7 x 1231
Step 4: Therefore, the least common multiple of 1225 and 1231 is 1507975.