Least Common Multiple of 7713 and 7721
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7713 and 7721 the smallest integer that is 59552073 that is divisible by both numbers.
Least Common Multiple (LCM) of 7713 and 7721 is 59552073.
LCM(7713,7721) = 59552073
LCM of 7713 and 7721
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7713 and 7721 by Prime method
- Least Common Multiple of 7713 and 7721 with GCF Formula
LCM of 7713 and 7721 is 59552073
Least common multiple can be found by multiplying the highest exponent prime factors of 7713 and 7721. First we will calculate the prime factors of 7713 and 7721.
Prime Factorization of 7713
| 3 | 7713 |
| 3 | 2571 |
| 857 | 857 |
| 1 |
Prime factors of 7713 are 3,857. Prime factorization of 7713 in exponential form is:
7713 = 32×8571
Prime Factorization of 7721
| 7 | 7721 |
| 1103 | 1103 |
| 1 |
Prime factors of 7721 are 7,1103. Prime factorization of 7721 in exponential form is:
7721 = 71×11031
Now multiplying the highest exponent prime factors to calculate the LCM of 7713 and 7721.
LCM(7713,7721) = 32×71×8571×11031
LCM(7713,7721) = 59552073
Factors of 7713
List of positive integer factors of 7713 that divides 7713 without a remainder.
1, 3, 9, 857, 2571, 7713
Factors of 7721
List of positive integer factors of 7721 that divides 7721 without a remainder.
1, 7, 1103, 7721
Least Common Multiple of 7713 and 7721 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7713 and 7721, than apply into the LCM equation.
GCF(7713,7721) = 1
LCM(7713,7721) = ( 7713 × 7721) / 1
LCM(7713,7721) = 59552073 / 1
LCM(7713,7721) = 59552073
Properties of LCM 7713 and 7721
(i) The LCM of 7721 and 7713 is associative
LCM of 7713 and 7721 = LCM of 7721 and 7713
Related Least Common Multiples of 7713
Related Least Common Multiples of 7721
Frequently Asked Questions on LCM of 7713 and 7721
1. What is the LCM of 7713 and 7721?
Answer: LCM of 7713 and 7721 is 59552073.
2. What are the Factors of 7713?
Answer: Factors of 7713 are 1, 3, 9, 857, 2571, 7713. There are 6 integers that are factors of 7713. The greatest factor of 7713 is 7713.
3. What are the Factors of 7721?
Answer: Factors of 7721 are 1, 7, 1103, 7721. There are 4 integers that are factors of 7721. The greatest factor of 7721 is 7721.
4. How to Find the LCM of 7713 and 7721?
Answer:
Least Common Multiple of 7713 and 7721 = 59552073
Step 1: Find the prime factorization of 7713
7713 = 3 x 3 x 857
Step 2: Find the prime factorization of 7721
7721 = 7 x 1103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59552073 = 3 x 3 x 7 x 857 x 1103
Step 4: Therefore, the least common multiple of 7713 and 7721 is 59552073.