Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7751 and 7757 the smallest integer that is 60124507 that is divisible by both numbers.
Least Common Multiple (LCM) of 7751 and 7757 is 60124507.
LCM(7751,7757) = 60124507
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7751 and 7757. First we will calculate the prime factors of 7751 and 7757.
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
Prime Factorization of 7757
7757 | 7757 |
1 |
Prime factors of 7757 are 7757. Prime factorization of 7757 in exponential form is:
7757 = 77571
Now multiplying the highest exponent prime factors to calculate the LCM of 7751 and 7757.
LCM(7751,7757) = 231×3371×77571
LCM(7751,7757) = 60124507
Factors of 7751
List of positive integer factors of 7751 that divides 7751 without a remainder.
1, 23, 337, 7751
Factors of 7757
List of positive integer factors of 7757 that divides 7757 without a remainder.
1, 7757
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7751 and 7757, than apply into the LCM equation.
GCF(7751,7757) = 1
LCM(7751,7757) = ( 7751 × 7757) / 1
LCM(7751,7757) = 60124507 / 1
LCM(7751,7757) = 60124507
(i) The LCM of 7757 and 7751 is associative
LCM of 7751 and 7757 = LCM of 7757 and 7751
1. What is the LCM of 7751 and 7757?
Answer: LCM of 7751 and 7757 is 60124507.
2. 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.
3. What are the Factors of 7757?
Answer: Factors of 7757 are 1, 7757. There are 2 integers that are factors of 7757. The greatest factor of 7757 is 7757.
4. How to Find the LCM of 7751 and 7757?
Answer:
Least Common Multiple of 7751 and 7757 = 60124507
Step 1: Find the prime factorization of 7751
7751 = 23 x 337
Step 2: Find the prime factorization of 7757
7757 = 7757
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60124507 = 23 x 337 x 7757
Step 4: Therefore, the least common multiple of 7751 and 7757 is 60124507.