Least Common Multiple of 7743 and 7751
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 7751 the smallest integer that is 60015993 that is divisible by both numbers.
Least Common Multiple (LCM) of 7743 and 7751 is 60015993.
LCM(7743,7751) = 60015993
LCM of 7743 and 7751
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7743 and 7751 by Prime method
- Least Common Multiple of 7743 and 7751 with GCF Formula
LCM of 7743 and 7751 is 60015993
Least common multiple can be found by multiplying the highest exponent prime factors of 7743 and 7751. First we will calculate the prime factors of 7743 and 7751.
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 7751
| 23 | 7751 |
| 337 | 337 |
| 1 |
Prime factors of 7751 are 23,337. Prime factorization of 7751 in exponential form is:
7751 = 231×3371
Now multiplying the highest exponent prime factors to calculate the LCM of 7743 and 7751.
LCM(7743,7751) = 31×231×291×891×3371
LCM(7743,7751) = 60015993
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 7751
List of positive integer factors of 7751 that divides 7751 without a remainder.
1, 23, 337, 7751
Least Common Multiple of 7743 and 7751 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 7751, than apply into the LCM equation.
GCF(7743,7751) = 1
LCM(7743,7751) = ( 7743 × 7751) / 1
LCM(7743,7751) = 60015993 / 1
LCM(7743,7751) = 60015993
Properties of LCM 7743 and 7751
(i) The LCM of 7751 and 7743 is associative
LCM of 7743 and 7751 = LCM of 7751 and 7743
Related Least Common Multiples of 7743
Related Least Common Multiples of 7751
Frequently Asked Questions on LCM of 7743 and 7751
1. What is the LCM of 7743 and 7751?
Answer: LCM of 7743 and 7751 is 60015993.
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 7751?
Answer: Factors of 7751 are 1, 23, 337, 7751. There are 4 integers that are factors of 7751. The greatest factor of 7751 is 7751.
4. How to Find the LCM of 7743 and 7751?
Answer:
Least Common Multiple of 7743 and 7751 = 60015993
Step 1: Find the prime factorization of 7743
7743 = 3 x 29 x 89
Step 2: Find the prime factorization of 7751
7751 = 23 x 337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60015993 = 3 x 23 x 29 x 89 x 337
Step 4: Therefore, the least common multiple of 7743 and 7751 is 60015993.