Least Common Multiple of 39221 and 39225
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 39221 and 39225 the smallest integer that is 1538443725 that is divisible by both numbers.
Least Common Multiple (LCM) of 39221 and 39225 is 1538443725.
LCM(39221,39225) = 1538443725
LCM of 39221 and 39225
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 39221 and 39225 by Prime method
- Least Common Multiple of 39221 and 39225 with GCF Formula
LCM of 39221 and 39225 is 1538443725
Least common multiple can be found by multiplying the highest exponent prime factors of 39221 and 39225. First we will calculate the prime factors of 39221 and 39225.
Prime Factorization of 39221
| 7 | 39221 |
| 13 | 5603 |
| 431 | 431 |
| 1 |
Prime factors of 39221 are 7, 13,431. Prime factorization of 39221 in exponential form is:
39221 = 71×131×4311
Prime Factorization of 39225
| 3 | 39225 |
| 5 | 13075 |
| 5 | 2615 |
| 523 | 523 |
| 1 |
Prime factors of 39225 are 3, 5,523. Prime factorization of 39225 in exponential form is:
39225 = 31×52×5231
Now multiplying the highest exponent prime factors to calculate the LCM of 39221 and 39225.
LCM(39221,39225) = 31×52×71×131×4311×5231
LCM(39221,39225) = 1538443725
Factors of 39221
List of positive integer factors of 39221 that divides 39221 without a remainder.
1, 7, 13, 91, 431, 3017, 5603, 39221
Factors of 39225
List of positive integer factors of 39225 that divides 39225 without a remainder.
1, 3, 5, 15, 25, 75, 523, 1569, 2615, 7845, 13075, 39225
Least Common Multiple of 39221 and 39225 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39221 and 39225, than apply into the LCM equation.
GCF(39221,39225) = 1
LCM(39221,39225) = ( 39221 × 39225) / 1
LCM(39221,39225) = 1538443725 / 1
LCM(39221,39225) = 1538443725
Properties of LCM 39221 and 39225
(i) The LCM of 39225 and 39221 is associative
LCM of 39221 and 39225 = LCM of 39225 and 39221
Related Least Common Multiples of 39221
Related Least Common Multiples of 39225
Frequently Asked Questions on LCM of 39221 and 39225
1. What is the LCM of 39221 and 39225?
Answer: LCM of 39221 and 39225 is 1538443725.
2. What are the Factors of 39221?
Answer: Factors of 39221 are 1, 7, 13, 91, 431, 3017, 5603, 39221. There are 8 integers that are factors of 39221. The greatest factor of 39221 is 39221.
3. What are the Factors of 39225?
Answer: Factors of 39225 are 1, 3, 5, 15, 25, 75, 523, 1569, 2615, 7845, 13075, 39225. There are 12 integers that are factors of 39225. The greatest factor of 39225 is 39225.
4. How to Find the LCM of 39221 and 39225?
Answer:
Least Common Multiple of 39221 and 39225 = 1538443725
Step 1: Find the prime factorization of 39221
39221 = 7 x 13 x 431
Step 2: Find the prime factorization of 39225
39225 = 3 x 5 x 5 x 523
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1538443725 = 3 x 5 x 5 x 7 x 13 x 431 x 523
Step 4: Therefore, the least common multiple of 39221 and 39225 is 1538443725.