Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3722 and 3723 the smallest integer that is 13857006 that is divisible by both numbers.
Least Common Multiple (LCM) of 3722 and 3723 is 13857006.
LCM(3722,3723) = 13857006
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 3722 and 3723. First we will calculate the prime factors of 3722 and 3723.
Prime Factorization of 3722
2 | 3722 |
1861 | 1861 |
1 |
Prime factors of 3722 are 2,1861. Prime factorization of 3722 in exponential form is:
3722 = 21×18611
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 3722 and 3723.
LCM(3722,3723) = 21×31×171×731×18611
LCM(3722,3723) = 13857006
Factors of 3722
List of positive integer factors of 3722 that divides 3722 without a remainder.
1, 2, 1861, 3722
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 3722 and 3723, than apply into the LCM equation.
GCF(3722,3723) = 1
LCM(3722,3723) = ( 3722 × 3723) / 1
LCM(3722,3723) = 13857006 / 1
LCM(3722,3723) = 13857006
(i) The LCM of 3723 and 3722 is associative
LCM of 3722 and 3723 = LCM of 3723 and 3722
1. What is the LCM of 3722 and 3723?
Answer: LCM of 3722 and 3723 is 13857006.
2. What are the Factors of 3722?
Answer: Factors of 3722 are 1, 2, 1861, 3722. There are 4 integers that are factors of 3722. The greatest factor of 3722 is 3722.
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 3722 and 3723?
Answer:
Least Common Multiple of 3722 and 3723 = 13857006
Step 1: Find the prime factorization of 3722
3722 = 2 x 1861
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 = 13857006 = 2 x 3 x 17 x 73 x 1861
Step 4: Therefore, the least common multiple of 3722 and 3723 is 13857006.