Least Common Multiple of 3910 and 3917
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3910 and 3917 the smallest integer that is 15315470 that is divisible by both numbers.
Least Common Multiple (LCM) of 3910 and 3917 is 15315470.
LCM(3910,3917) = 15315470
LCM of 3910 and 3917
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3910 and 3917 by Prime method
- Least Common Multiple of 3910 and 3917 with GCF Formula
LCM of 3910 and 3917 is 15315470
Least common multiple can be found by multiplying the highest exponent prime factors of 3910 and 3917. First we will calculate the prime factors of 3910 and 3917.
Prime Factorization of 3910
| 2 | 3910 |
| 5 | 1955 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 3910 are 2, 5, 17,23. Prime factorization of 3910 in exponential form is:
3910 = 21×51×171×231
Prime Factorization of 3917
| 3917 | 3917 |
| 1 |
Prime factors of 3917 are 3917. Prime factorization of 3917 in exponential form is:
3917 = 39171
Now multiplying the highest exponent prime factors to calculate the LCM of 3910 and 3917.
LCM(3910,3917) = 21×51×171×231×39171
LCM(3910,3917) = 15315470
Factors of 3910
List of positive integer factors of 3910 that divides 3910 without a remainder.
1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955, 3910
Factors of 3917
List of positive integer factors of 3917 that divides 3917 without a remainder.
1, 3917
Least Common Multiple of 3910 and 3917 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3910 and 3917, than apply into the LCM equation.
GCF(3910,3917) = 1
LCM(3910,3917) = ( 3910 × 3917) / 1
LCM(3910,3917) = 15315470 / 1
LCM(3910,3917) = 15315470
Properties of LCM 3910 and 3917
(i) The LCM of 3917 and 3910 is associative
LCM of 3910 and 3917 = LCM of 3917 and 3910
Related Least Common Multiples of 3910
Related Least Common Multiples of 3917
Frequently Asked Questions on LCM of 3910 and 3917
1. What is the LCM of 3910 and 3917?
Answer: LCM of 3910 and 3917 is 15315470.
2. What are the Factors of 3910?
Answer: Factors of 3910 are 1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955, 3910. There are 16 integers that are factors of 3910. The greatest factor of 3910 is 3910.
3. What are the Factors of 3917?
Answer: Factors of 3917 are 1, 3917. There are 2 integers that are factors of 3917. The greatest factor of 3917 is 3917.
4. How to Find the LCM of 3910 and 3917?
Answer:
Least Common Multiple of 3910 and 3917 = 15315470
Step 1: Find the prime factorization of 3910
3910 = 2 x 5 x 17 x 23
Step 2: Find the prime factorization of 3917
3917 = 3917
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15315470 = 2 x 5 x 17 x 23 x 3917
Step 4: Therefore, the least common multiple of 3910 and 3917 is 15315470.