Least Common Multiple of 7743 and 7747
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7743 and 7747 the smallest integer that is 59985021 that is divisible by both numbers.
Least Common Multiple (LCM) of 7743 and 7747 is 59985021.
LCM(7743,7747) = 59985021
LCM of 7743 and 7747
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7743 and 7747 by Prime method
- Least Common Multiple of 7743 and 7747 with GCF Formula
LCM of 7743 and 7747 is 59985021
Least common multiple can be found by multiplying the highest exponent prime factors of 7743 and 7747. First we will calculate the prime factors of 7743 and 7747.
Prime Factorization of 7743
| 3 | 7743 |
| 29 | 2581 |
| 89 | 89 |
| 1 |
Prime factors of 7743 are 3, 29,89. Prime factorization of 7743 in exponential form is:
7743 = 31×291×891
Prime Factorization of 7747
| 61 | 7747 |
| 127 | 127 |
| 1 |
Prime factors of 7747 are 61,127. Prime factorization of 7747 in exponential form is:
7747 = 611×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 7743 and 7747.
LCM(7743,7747) = 31×291×611×891×1271
LCM(7743,7747) = 59985021
Factors of 7743
List of positive integer factors of 7743 that divides 7743 without a remainder.
1, 3, 29, 87, 89, 267, 2581, 7743
Factors of 7747
List of positive integer factors of 7747 that divides 7747 without a remainder.
1, 61, 127, 7747
Least Common Multiple of 7743 and 7747 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7743 and 7747, than apply into the LCM equation.
GCF(7743,7747) = 1
LCM(7743,7747) = ( 7743 × 7747) / 1
LCM(7743,7747) = 59985021 / 1
LCM(7743,7747) = 59985021
Properties of LCM 7743 and 7747
(i) The LCM of 7747 and 7743 is associative
LCM of 7743 and 7747 = LCM of 7747 and 7743
Related Least Common Multiples of 7743
Related Least Common Multiples of 7747
Frequently Asked Questions on LCM of 7743 and 7747
1. What is the LCM of 7743 and 7747?
Answer: LCM of 7743 and 7747 is 59985021.
2. What are the Factors of 7743?
Answer: Factors of 7743 are 1, 3, 29, 87, 89, 267, 2581, 7743. There are 8 integers that are factors of 7743. The greatest factor of 7743 is 7743.
3. What are the Factors of 7747?
Answer: Factors of 7747 are 1, 61, 127, 7747. There are 4 integers that are factors of 7747. The greatest factor of 7747 is 7747.
4. How to Find the LCM of 7743 and 7747?
Answer:
Least Common Multiple of 7743 and 7747 = 59985021
Step 1: Find the prime factorization of 7743
7743 = 3 x 29 x 89
Step 2: Find the prime factorization of 7747
7747 = 61 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59985021 = 3 x 29 x 61 x 89 x 127
Step 4: Therefore, the least common multiple of 7743 and 7747 is 59985021.