Least Common Multiple of 3713 and 3717
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3713 and 3717 the smallest integer that is 13801221 that is divisible by both numbers.
Least Common Multiple (LCM) of 3713 and 3717 is 13801221.
LCM(3713,3717) = 13801221
LCM of 3713 and 3717
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3713 and 3717 by Prime method
- Least Common Multiple of 3713 and 3717 with GCF Formula
LCM of 3713 and 3717 is 13801221
Least common multiple can be found by multiplying the highest exponent prime factors of 3713 and 3717. First we will calculate the prime factors of 3713 and 3717.
Prime Factorization of 3713
| 47 | 3713 |
| 79 | 79 |
| 1 |
Prime factors of 3713 are 47,79. Prime factorization of 3713 in exponential form is:
3713 = 471×791
Prime Factorization of 3717
| 3 | 3717 |
| 3 | 1239 |
| 7 | 413 |
| 59 | 59 |
| 1 |
Prime factors of 3717 are 3, 7,59. Prime factorization of 3717 in exponential form is:
3717 = 32×71×591
Now multiplying the highest exponent prime factors to calculate the LCM of 3713 and 3717.
LCM(3713,3717) = 32×71×471×591×791
LCM(3713,3717) = 13801221
Factors of 3713
List of positive integer factors of 3713 that divides 3713 without a remainder.
1, 47, 79, 3713
Factors of 3717
List of positive integer factors of 3717 that divides 3717 without a remainder.
1, 3, 7, 9, 21, 59, 63, 177, 413, 531, 1239, 3717
Least Common Multiple of 3713 and 3717 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3713 and 3717, than apply into the LCM equation.
GCF(3713,3717) = 1
LCM(3713,3717) = ( 3713 × 3717) / 1
LCM(3713,3717) = 13801221 / 1
LCM(3713,3717) = 13801221
Properties of LCM 3713 and 3717
(i) The LCM of 3717 and 3713 is associative
LCM of 3713 and 3717 = LCM of 3717 and 3713
Related Least Common Multiples of 3713
Related Least Common Multiples of 3717
Frequently Asked Questions on LCM of 3713 and 3717
1. What is the LCM of 3713 and 3717?
Answer: LCM of 3713 and 3717 is 13801221.
2. What are the Factors of 3713?
Answer: Factors of 3713 are 1, 47, 79, 3713. There are 4 integers that are factors of 3713. The greatest factor of 3713 is 3713.
3. What are the Factors of 3717?
Answer: Factors of 3717 are 1, 3, 7, 9, 21, 59, 63, 177, 413, 531, 1239, 3717. There are 12 integers that are factors of 3717. The greatest factor of 3717 is 3717.
4. How to Find the LCM of 3713 and 3717?
Answer:
Least Common Multiple of 3713 and 3717 = 13801221
Step 1: Find the prime factorization of 3713
3713 = 47 x 79
Step 2: Find the prime factorization of 3717
3717 = 3 x 3 x 7 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13801221 = 3 x 3 x 7 x 47 x 59 x 79
Step 4: Therefore, the least common multiple of 3713 and 3717 is 13801221.