Least Common Multiple of 39221 and 39229
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 39229 the smallest integer that is 1538600609 that is divisible by both numbers.
Least Common Multiple (LCM) of 39221 and 39229 is 1538600609.
LCM(39221,39229) = 1538600609
LCM of 39221 and 39229
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 39221 and 39229 by Prime method
- Least Common Multiple of 39221 and 39229 with GCF Formula
LCM of 39221 and 39229 is 1538600609
Least common multiple can be found by multiplying the highest exponent prime factors of 39221 and 39229. First we will calculate the prime factors of 39221 and 39229.
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 39229
| 39229 | 39229 |
| 1 |
Prime factors of 39229 are 39229. Prime factorization of 39229 in exponential form is:
39229 = 392291
Now multiplying the highest exponent prime factors to calculate the LCM of 39221 and 39229.
LCM(39221,39229) = 71×131×4311×392291
LCM(39221,39229) = 1538600609
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 39229
List of positive integer factors of 39229 that divides 39229 without a remainder.
1, 39229
Least Common Multiple of 39221 and 39229 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 39229, than apply into the LCM equation.
GCF(39221,39229) = 1
LCM(39221,39229) = ( 39221 × 39229) / 1
LCM(39221,39229) = 1538600609 / 1
LCM(39221,39229) = 1538600609
Properties of LCM 39221 and 39229
(i) The LCM of 39229 and 39221 is associative
LCM of 39221 and 39229 = LCM of 39229 and 39221
Related Least Common Multiples of 39221
Related Least Common Multiples of 39229
Frequently Asked Questions on LCM of 39221 and 39229
1. What is the LCM of 39221 and 39229?
Answer: LCM of 39221 and 39229 is 1538600609.
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 39229?
Answer: Factors of 39229 are 1, 39229. There are 2 integers that are factors of 39229. The greatest factor of 39229 is 39229.
4. How to Find the LCM of 39221 and 39229?
Answer:
Least Common Multiple of 39221 and 39229 = 1538600609
Step 1: Find the prime factorization of 39221
39221 = 7 x 13 x 431
Step 2: Find the prime factorization of 39229
39229 = 39229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1538600609 = 7 x 13 x 431 x 39229
Step 4: Therefore, the least common multiple of 39221 and 39229 is 1538600609.