Least Common Multiple of 3713 and 3718
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 3718 the smallest integer that is 13804934 that is divisible by both numbers.
Least Common Multiple (LCM) of 3713 and 3718 is 13804934.
LCM(3713,3718) = 13804934
LCM of 3713 and 3718
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3713 and 3718 by Prime method
- Least Common Multiple of 3713 and 3718 with GCF Formula
LCM of 3713 and 3718 is 13804934
Least common multiple can be found by multiplying the highest exponent prime factors of 3713 and 3718. First we will calculate the prime factors of 3713 and 3718.
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 3718
| 2 | 3718 |
| 11 | 1859 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 3718 are 2, 11,13. Prime factorization of 3718 in exponential form is:
3718 = 21×111×132
Now multiplying the highest exponent prime factors to calculate the LCM of 3713 and 3718.
LCM(3713,3718) = 21×111×132×471×791
LCM(3713,3718) = 13804934
Factors of 3713
List of positive integer factors of 3713 that divides 3713 without a remainder.
1, 47, 79, 3713
Factors of 3718
List of positive integer factors of 3718 that divides 3718 without a remainder.
1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718
Least Common Multiple of 3713 and 3718 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 3718, than apply into the LCM equation.
GCF(3713,3718) = 1
LCM(3713,3718) = ( 3713 × 3718) / 1
LCM(3713,3718) = 13804934 / 1
LCM(3713,3718) = 13804934
Properties of LCM 3713 and 3718
(i) The LCM of 3718 and 3713 is associative
LCM of 3713 and 3718 = LCM of 3718 and 3713
Related Least Common Multiples of 3713
Related Least Common Multiples of 3718
Frequently Asked Questions on LCM of 3713 and 3718
1. What is the LCM of 3713 and 3718?
Answer: LCM of 3713 and 3718 is 13804934.
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 3718?
Answer: Factors of 3718 are 1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718. There are 12 integers that are factors of 3718. The greatest factor of 3718 is 3718.
4. How to Find the LCM of 3713 and 3718?
Answer:
Least Common Multiple of 3713 and 3718 = 13804934
Step 1: Find the prime factorization of 3713
3713 = 47 x 79
Step 2: Find the prime factorization of 3718
3718 = 2 x 11 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13804934 = 2 x 11 x 13 x 13 x 47 x 79
Step 4: Therefore, the least common multiple of 3713 and 3718 is 13804934.