Least Common Multiple of 3901 and 3909
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 3909 the smallest integer that is 15249009 that is divisible by both numbers.
Least Common Multiple (LCM) of 3901 and 3909 is 15249009.
LCM(3901,3909) = 15249009
LCM of 3901 and 3909
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3901 and 3909 by Prime method
- Least Common Multiple of 3901 and 3909 with GCF Formula
LCM of 3901 and 3909 is 15249009
Least common multiple can be found by multiplying the highest exponent prime factors of 3901 and 3909. First we will calculate the prime factors of 3901 and 3909.
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 3909
| 3 | 3909 |
| 1303 | 1303 |
| 1 |
Prime factors of 3909 are 3,1303. Prime factorization of 3909 in exponential form is:
3909 = 31×13031
Now multiplying the highest exponent prime factors to calculate the LCM of 3901 and 3909.
LCM(3901,3909) = 31×471×831×13031
LCM(3901,3909) = 15249009
Factors of 3901
List of positive integer factors of 3901 that divides 3901 without a remainder.
1, 47, 83, 3901
Factors of 3909
List of positive integer factors of 3909 that divides 3909 without a remainder.
1, 3, 1303, 3909
Least Common Multiple of 3901 and 3909 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 3909, than apply into the LCM equation.
GCF(3901,3909) = 1
LCM(3901,3909) = ( 3901 × 3909) / 1
LCM(3901,3909) = 15249009 / 1
LCM(3901,3909) = 15249009
Properties of LCM 3901 and 3909
(i) The LCM of 3909 and 3901 is associative
LCM of 3901 and 3909 = LCM of 3909 and 3901
Related Least Common Multiples of 3901
Related Least Common Multiples of 3909
Frequently Asked Questions on LCM of 3901 and 3909
1. What is the LCM of 3901 and 3909?
Answer: LCM of 3901 and 3909 is 15249009.
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 3909?
Answer: Factors of 3909 are 1, 3, 1303, 3909. There are 4 integers that are factors of 3909. The greatest factor of 3909 is 3909.
4. How to Find the LCM of 3901 and 3909?
Answer:
Least Common Multiple of 3901 and 3909 = 15249009
Step 1: Find the prime factorization of 3901
3901 = 47 x 83
Step 2: Find the prime factorization of 3909
3909 = 3 x 1303
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15249009 = 3 x 47 x 83 x 1303
Step 4: Therefore, the least common multiple of 3901 and 3909 is 15249009.