Least Common Multiple of 1221 and 1225
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1221 and 1225 the smallest integer that is 1495725 that is divisible by both numbers.
Least Common Multiple (LCM) of 1221 and 1225 is 1495725.
LCM(1221,1225) = 1495725
LCM of 1221 and 1225
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1221 and 1225 by Prime method
- Least Common Multiple of 1221 and 1225 with GCF Formula
LCM of 1221 and 1225 is 1495725
Least common multiple can be found by multiplying the highest exponent prime factors of 1221 and 1225. First we will calculate the prime factors of 1221 and 1225.
Prime Factorization of 1221
| 3 | 1221 |
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 1221 are 3, 11,37. Prime factorization of 1221 in exponential form is:
1221 = 31×111×371
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1221 and 1225.
LCM(1221,1225) = 31×52×72×111×371
LCM(1221,1225) = 1495725
Factors of 1221
List of positive integer factors of 1221 that divides 1221 without a remainder.
1, 3, 11, 33, 37, 111, 407, 1221
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
Least Common Multiple of 1221 and 1225 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1221 and 1225, than apply into the LCM equation.
GCF(1221,1225) = 1
LCM(1221,1225) = ( 1221 × 1225) / 1
LCM(1221,1225) = 1495725 / 1
LCM(1221,1225) = 1495725
Properties of LCM 1221 and 1225
(i) The LCM of 1225 and 1221 is associative
LCM of 1221 and 1225 = LCM of 1225 and 1221
Related Least Common Multiples of 1221
Related Least Common Multiples of 1225
Frequently Asked Questions on LCM of 1221 and 1225
1. What is the LCM of 1221 and 1225?
Answer: LCM of 1221 and 1225 is 1495725.
2. What are the Factors of 1221?
Answer: Factors of 1221 are 1, 3, 11, 33, 37, 111, 407, 1221. There are 8 integers that are factors of 1221. The greatest factor of 1221 is 1221.
3. 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.
4. How to Find the LCM of 1221 and 1225?
Answer:
Least Common Multiple of 1221 and 1225 = 1495725
Step 1: Find the prime factorization of 1221
1221 = 3 x 11 x 37
Step 2: Find the prime factorization of 1225
1225 = 5 x 5 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1495725 = 3 x 5 x 5 x 7 x 7 x 11 x 37
Step 4: Therefore, the least common multiple of 1221 and 1225 is 1495725.