Least Common Multiple of 3901 and 3906
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 3906 the smallest integer that is 15237306 that is divisible by both numbers.
Least Common Multiple (LCM) of 3901 and 3906 is 15237306.
LCM(3901,3906) = 15237306
LCM of 3901 and 3906
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3901 and 3906 by Prime method
- Least Common Multiple of 3901 and 3906 with GCF Formula
LCM of 3901 and 3906 is 15237306
Least common multiple can be found by multiplying the highest exponent prime factors of 3901 and 3906. First we will calculate the prime factors of 3901 and 3906.
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 3906
| 2 | 3906 |
| 3 | 1953 |
| 3 | 651 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 3906 are 2, 3, 7,31. Prime factorization of 3906 in exponential form is:
3906 = 21×32×71×311
Now multiplying the highest exponent prime factors to calculate the LCM of 3901 and 3906.
LCM(3901,3906) = 21×32×71×311×471×831
LCM(3901,3906) = 15237306
Factors of 3901
List of positive integer factors of 3901 that divides 3901 without a remainder.
1, 47, 83, 3901
Factors of 3906
List of positive integer factors of 3906 that divides 3906 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953, 3906
Least Common Multiple of 3901 and 3906 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 3906, than apply into the LCM equation.
GCF(3901,3906) = 1
LCM(3901,3906) = ( 3901 × 3906) / 1
LCM(3901,3906) = 15237306 / 1
LCM(3901,3906) = 15237306
Properties of LCM 3901 and 3906
(i) The LCM of 3906 and 3901 is associative
LCM of 3901 and 3906 = LCM of 3906 and 3901
Related Least Common Multiples of 3901
Related Least Common Multiples of 3906
Frequently Asked Questions on LCM of 3901 and 3906
1. What is the LCM of 3901 and 3906?
Answer: LCM of 3901 and 3906 is 15237306.
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 3906?
Answer: Factors of 3906 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953, 3906. There are 24 integers that are factors of 3906. The greatest factor of 3906 is 3906.
4. How to Find the LCM of 3901 and 3906?
Answer:
Least Common Multiple of 3901 and 3906 = 15237306
Step 1: Find the prime factorization of 3901
3901 = 47 x 83
Step 2: Find the prime factorization of 3906
3906 = 2 x 3 x 3 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15237306 = 2 x 3 x 3 x 7 x 31 x 47 x 83
Step 4: Therefore, the least common multiple of 3901 and 3906 is 15237306.