Least Common Multiple of 3901 and 3905
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3901 and 3905 the smallest integer that is 15233405 that is divisible by both numbers.
Least Common Multiple (LCM) of 3901 and 3905 is 15233405.
LCM(3901,3905) = 15233405
LCM of 3901 and 3905
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3901 and 3905 by Prime method
- Least Common Multiple of 3901 and 3905 with GCF Formula
LCM of 3901 and 3905 is 15233405
Least common multiple can be found by multiplying the highest exponent prime factors of 3901 and 3905. First we will calculate the prime factors of 3901 and 3905.
Prime Factorization of 3901
| 47 | 3901 |
| 83 | 83 |
| 1 |
Prime factors of 3901 are 47,83. Prime factorization of 3901 in exponential form is:
3901 = 471×831
Prime Factorization of 3905
| 5 | 3905 |
| 11 | 781 |
| 71 | 71 |
| 1 |
Prime factors of 3905 are 5, 11,71. Prime factorization of 3905 in exponential form is:
3905 = 51×111×711
Now multiplying the highest exponent prime factors to calculate the LCM of 3901 and 3905.
LCM(3901,3905) = 51×111×471×711×831
LCM(3901,3905) = 15233405
Factors of 3901
List of positive integer factors of 3901 that divides 3901 without a remainder.
1, 47, 83, 3901
Factors of 3905
List of positive integer factors of 3905 that divides 3905 without a remainder.
1, 5, 11, 55, 71, 355, 781, 3905
Least Common Multiple of 3901 and 3905 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3901 and 3905, than apply into the LCM equation.
GCF(3901,3905) = 1
LCM(3901,3905) = ( 3901 × 3905) / 1
LCM(3901,3905) = 15233405 / 1
LCM(3901,3905) = 15233405
Properties of LCM 3901 and 3905
(i) The LCM of 3905 and 3901 is associative
LCM of 3901 and 3905 = LCM of 3905 and 3901
Related Least Common Multiples of 3901
Related Least Common Multiples of 3905
Frequently Asked Questions on LCM of 3901 and 3905
1. What is the LCM of 3901 and 3905?
Answer: LCM of 3901 and 3905 is 15233405.
2. What are the Factors of 3901?
Answer: Factors of 3901 are 1, 47, 83, 3901. There are 4 integers that are factors of 3901. The greatest factor of 3901 is 3901.
3. What are the Factors of 3905?
Answer: Factors of 3905 are 1, 5, 11, 55, 71, 355, 781, 3905. There are 8 integers that are factors of 3905. The greatest factor of 3905 is 3905.
4. How to Find the LCM of 3901 and 3905?
Answer:
Least Common Multiple of 3901 and 3905 = 15233405
Step 1: Find the prime factorization of 3901
3901 = 47 x 83
Step 2: Find the prime factorization of 3905
3905 = 5 x 11 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15233405 = 5 x 11 x 47 x 71 x 83
Step 4: Therefore, the least common multiple of 3901 and 3905 is 15233405.