Least Common Multiple of 3723 and 3727
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3723 and 3727 the smallest integer that is 13875621 that is divisible by both numbers.
Least Common Multiple (LCM) of 3723 and 3727 is 13875621.
LCM(3723,3727) = 13875621
LCM of 3723 and 3727
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3723 and 3727 by Prime method
- Least Common Multiple of 3723 and 3727 with GCF Formula
LCM of 3723 and 3727 is 13875621
Least common multiple can be found by multiplying the highest exponent prime factors of 3723 and 3727. First we will calculate the prime factors of 3723 and 3727.
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
Prime Factorization of 3727
| 3727 | 3727 |
| 1 |
Prime factors of 3727 are 3727. Prime factorization of 3727 in exponential form is:
3727 = 37271
Now multiplying the highest exponent prime factors to calculate the LCM of 3723 and 3727.
LCM(3723,3727) = 31×171×731×37271
LCM(3723,3727) = 13875621
Factors of 3723
List of positive integer factors of 3723 that divides 3723 without a remainder.
1, 3, 17, 51, 73, 219, 1241, 3723
Factors of 3727
List of positive integer factors of 3727 that divides 3727 without a remainder.
1, 3727
Least Common Multiple of 3723 and 3727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3723 and 3727, than apply into the LCM equation.
GCF(3723,3727) = 1
LCM(3723,3727) = ( 3723 × 3727) / 1
LCM(3723,3727) = 13875621 / 1
LCM(3723,3727) = 13875621
Properties of LCM 3723 and 3727
(i) The LCM of 3727 and 3723 is associative
LCM of 3723 and 3727 = LCM of 3727 and 3723
Related Least Common Multiples of 3723
Related Least Common Multiples of 3727
Frequently Asked Questions on LCM of 3723 and 3727
1. What is the LCM of 3723 and 3727?
Answer: LCM of 3723 and 3727 is 13875621.
2. 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.
3. What are the Factors of 3727?
Answer: Factors of 3727 are 1, 3727. There are 2 integers that are factors of 3727. The greatest factor of 3727 is 3727.
4. How to Find the LCM of 3723 and 3727?
Answer:
Least Common Multiple of 3723 and 3727 = 13875621
Step 1: Find the prime factorization of 3723
3723 = 3 x 17 x 73
Step 2: Find the prime factorization of 3727
3727 = 3727
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13875621 = 3 x 17 x 73 x 3727
Step 4: Therefore, the least common multiple of 3723 and 3727 is 13875621.