Least Common Multiple of 3721 and 3723
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3721 and 3723 the smallest integer that is 13853283 that is divisible by both numbers.
Least Common Multiple (LCM) of 3721 and 3723 is 13853283.
LCM(3721,3723) = 13853283
LCM of 3721 and 3723
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3721 and 3723 by Prime method
- Least Common Multiple of 3721 and 3723 with GCF Formula
LCM of 3721 and 3723 is 13853283
Least common multiple can be found by multiplying the highest exponent prime factors of 3721 and 3723. First we will calculate the prime factors of 3721 and 3723.
Prime Factorization of 3721
| 61 | 3721 |
| 61 | 61 |
| 1 |
Prime factors of 3721 are 61. Prime factorization of 3721 in exponential form is:
3721 = 612
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 3721 and 3723.
LCM(3721,3723) = 31×171×612×731
LCM(3721,3723) = 13853283
Factors of 3721
List of positive integer factors of 3721 that divides 3721 without a remainder.
1, 61, 3721
Factors of 3723
List of positive integer factors of 3723 that divides 3723 without a remainder.
1, 3, 17, 51, 73, 219, 1241, 3723
Least Common Multiple of 3721 and 3723 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3721 and 3723, than apply into the LCM equation.
GCF(3721,3723) = 1
LCM(3721,3723) = ( 3721 × 3723) / 1
LCM(3721,3723) = 13853283 / 1
LCM(3721,3723) = 13853283
Properties of LCM 3721 and 3723
(i) The LCM of 3723 and 3721 is associative
LCM of 3721 and 3723 = LCM of 3723 and 3721
Related Least Common Multiples of 3721
Related Least Common Multiples of 3723
Frequently Asked Questions on LCM of 3721 and 3723
1. What is the LCM of 3721 and 3723?
Answer: LCM of 3721 and 3723 is 13853283.
2. What are the Factors of 3721?
Answer: Factors of 3721 are 1, 61, 3721. There are 3 integers that are factors of 3721. The greatest factor of 3721 is 3721.
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 3721 and 3723?
Answer:
Least Common Multiple of 3721 and 3723 = 13853283
Step 1: Find the prime factorization of 3721
3721 = 61 x 61
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 = 13853283 = 3 x 17 x 61 x 61 x 73
Step 4: Therefore, the least common multiple of 3721 and 3723 is 13853283.
