Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3716 and 3723 the smallest integer that is 13834668 that is divisible by both numbers.
Least Common Multiple (LCM) of 3716 and 3723 is 13834668.
LCM(3716,3723) = 13834668
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3716 and 3723. First we will calculate the prime factors of 3716 and 3723.
Prime Factorization of 3716
2 | 3716 |
2 | 1858 |
929 | 929 |
1 |
Prime factors of 3716 are 2,929. Prime factorization of 3716 in exponential form is:
3716 = 22×9291
Prime Factorization of 3723
3 | 3723 |
17 | 1241 |
73 | 73 |
1 |
Prime factors of 3723 are 3, 17,73. Prime factorization of 3723 in exponential form is:
3723 = 31×171×731
Now multiplying the highest exponent prime factors to calculate the LCM of 3716 and 3723.
LCM(3716,3723) = 22×31×171×731×9291
LCM(3716,3723) = 13834668
Factors of 3716
List of positive integer factors of 3716 that divides 3716 without a remainder.
1, 2, 4, 929, 1858, 3716
Factors of 3723
List of positive integer factors of 3723 that divides 3723 without a remainder.
1, 3, 17, 51, 73, 219, 1241, 3723
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3716 and 3723, than apply into the LCM equation.
GCF(3716,3723) = 1
LCM(3716,3723) = ( 3716 × 3723) / 1
LCM(3716,3723) = 13834668 / 1
LCM(3716,3723) = 13834668
(i) The LCM of 3723 and 3716 is associative
LCM of 3716 and 3723 = LCM of 3723 and 3716
1. What is the LCM of 3716 and 3723?
Answer: LCM of 3716 and 3723 is 13834668.
2. What are the Factors of 3716?
Answer: Factors of 3716 are 1, 2, 4, 929, 1858, 3716. There are 6 integers that are factors of 3716. The greatest factor of 3716 is 3716.
3. What are the Factors of 3723?
Answer: Factors of 3723 are 1, 3, 17, 51, 73, 219, 1241, 3723. There are 8 integers that are factors of 3723. The greatest factor of 3723 is 3723.
4. How to Find the LCM of 3716 and 3723?
Answer:
Least Common Multiple of 3716 and 3723 = 13834668
Step 1: Find the prime factorization of 3716
3716 = 2 x 2 x 929
Step 2: Find the prime factorization of 3723
3723 = 3 x 17 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13834668 = 2 x 2 x 3 x 17 x 73 x 929
Step 4: Therefore, the least common multiple of 3716 and 3723 is 13834668.