Least Common Multiple of 3907 and 3913
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3907 and 3913 the smallest integer that is 15288091 that is divisible by both numbers.
Least Common Multiple (LCM) of 3907 and 3913 is 15288091.
LCM(3907,3913) = 15288091
LCM of 3907 and 3913
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3907 and 3913 by Prime method
- Least Common Multiple of 3907 and 3913 with GCF Formula
LCM of 3907 and 3913 is 15288091
Least common multiple can be found by multiplying the highest exponent prime factors of 3907 and 3913. First we will calculate the prime factors of 3907 and 3913.
Prime Factorization of 3907
| 3907 | 3907 |
| 1 |
Prime factors of 3907 are 3907. Prime factorization of 3907 in exponential form is:
3907 = 39071
Prime Factorization of 3913
| 7 | 3913 |
| 13 | 559 |
| 43 | 43 |
| 1 |
Prime factors of 3913 are 7, 13,43. Prime factorization of 3913 in exponential form is:
3913 = 71×131×431
Now multiplying the highest exponent prime factors to calculate the LCM of 3907 and 3913.
LCM(3907,3913) = 71×131×431×39071
LCM(3907,3913) = 15288091
Factors of 3907
List of positive integer factors of 3907 that divides 3907 without a remainder.
1, 3907
Factors of 3913
List of positive integer factors of 3913 that divides 3913 without a remainder.
1, 7, 13, 43, 91, 301, 559, 3913
Least Common Multiple of 3907 and 3913 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3907 and 3913, than apply into the LCM equation.
GCF(3907,3913) = 1
LCM(3907,3913) = ( 3907 × 3913) / 1
LCM(3907,3913) = 15288091 / 1
LCM(3907,3913) = 15288091
Properties of LCM 3907 and 3913
(i) The LCM of 3913 and 3907 is associative
LCM of 3907 and 3913 = LCM of 3913 and 3907
Related Least Common Multiples of 3907
Related Least Common Multiples of 3913
Frequently Asked Questions on LCM of 3907 and 3913
1. What is the LCM of 3907 and 3913?
Answer: LCM of 3907 and 3913 is 15288091.
2. What are the Factors of 3907?
Answer: Factors of 3907 are 1, 3907. There are 2 integers that are factors of 3907. The greatest factor of 3907 is 3907.
3. What are the Factors of 3913?
Answer: Factors of 3913 are 1, 7, 13, 43, 91, 301, 559, 3913. There are 8 integers that are factors of 3913. The greatest factor of 3913 is 3913.
4. How to Find the LCM of 3907 and 3913?
Answer:
Least Common Multiple of 3907 and 3913 = 15288091
Step 1: Find the prime factorization of 3907
3907 = 3907
Step 2: Find the prime factorization of 3913
3913 = 7 x 13 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15288091 = 7 x 13 x 43 x 3907
Step 4: Therefore, the least common multiple of 3907 and 3913 is 15288091.