Least Common Multiple of 3713 and 3721
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 3721 the smallest integer that is 13816073 that is divisible by both numbers.
Least Common Multiple (LCM) of 3713 and 3721 is 13816073.
LCM(3713,3721) = 13816073
LCM of 3713 and 3721
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3713 and 3721 by Prime method
- Least Common Multiple of 3713 and 3721 with GCF Formula
LCM of 3713 and 3721 is 13816073
Least common multiple can be found by multiplying the highest exponent prime factors of 3713 and 3721. First we will calculate the prime factors of 3713 and 3721.
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 3721
| 61 | 3721 |
| 61 | 61 |
| 1 |
Prime factors of 3721 are 61. Prime factorization of 3721 in exponential form is:
3721 = 612
Now multiplying the highest exponent prime factors to calculate the LCM of 3713 and 3721.
LCM(3713,3721) = 471×612×791
LCM(3713,3721) = 13816073
Factors of 3713
List of positive integer factors of 3713 that divides 3713 without a remainder.
1, 47, 79, 3713
Factors of 3721
List of positive integer factors of 3721 that divides 3721 without a remainder.
1, 61, 3721
Least Common Multiple of 3713 and 3721 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 3721, than apply into the LCM equation.
GCF(3713,3721) = 1
LCM(3713,3721) = ( 3713 × 3721) / 1
LCM(3713,3721) = 13816073 / 1
LCM(3713,3721) = 13816073
Properties of LCM 3713 and 3721
(i) The LCM of 3721 and 3713 is associative
LCM of 3713 and 3721 = LCM of 3721 and 3713
Related Least Common Multiples of 3713
Related Least Common Multiples of 3721
Frequently Asked Questions on LCM of 3713 and 3721
1. What is the LCM of 3713 and 3721?
Answer: LCM of 3713 and 3721 is 13816073.
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 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.
4. How to Find the LCM of 3713 and 3721?
Answer:
Least Common Multiple of 3713 and 3721 = 13816073
Step 1: Find the prime factorization of 3713
3713 = 47 x 79
Step 2: Find the prime factorization of 3721
3721 = 61 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13816073 = 47 x 61 x 61 x 79
Step 4: Therefore, the least common multiple of 3713 and 3721 is 13816073.