Least Common Multiple of 7751 and 7755
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 7755 the smallest integer that is 60109005 that is divisible by both numbers.
Least Common Multiple (LCM) of 7751 and 7755 is 60109005.
LCM(7751,7755) = 60109005
LCM of 7751 and 7755
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7751 and 7755 by Prime method
- Least Common Multiple of 7751 and 7755 with GCF Formula
LCM of 7751 and 7755 is 60109005
Least common multiple can be found by multiplying the highest exponent prime factors of 7751 and 7755. First we will calculate the prime factors of 7751 and 7755.
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 7755
| 3 | 7755 |
| 5 | 2585 |
| 11 | 517 |
| 47 | 47 |
| 1 |
Prime factors of 7755 are 3, 5, 11,47. Prime factorization of 7755 in exponential form is:
7755 = 31×51×111×471
Now multiplying the highest exponent prime factors to calculate the LCM of 7751 and 7755.
LCM(7751,7755) = 31×51×111×231×471×3371
LCM(7751,7755) = 60109005
Factors of 7751
List of positive integer factors of 7751 that divides 7751 without a remainder.
1, 23, 337, 7751
Factors of 7755
List of positive integer factors of 7755 that divides 7755 without a remainder.
1, 3, 5, 11, 15, 33, 47, 55, 141, 165, 235, 517, 705, 1551, 2585, 7755
Least Common Multiple of 7751 and 7755 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7751 and 7755, than apply into the LCM equation.
GCF(7751,7755) = 1
LCM(7751,7755) = ( 7751 × 7755) / 1
LCM(7751,7755) = 60109005 / 1
LCM(7751,7755) = 60109005
Properties of LCM 7751 and 7755
(i) The LCM of 7755 and 7751 is associative
LCM of 7751 and 7755 = LCM of 7755 and 7751
Related Least Common Multiples of 7751
Related Least Common Multiples of 7755
Frequently Asked Questions on LCM of 7751 and 7755
1. What is the LCM of 7751 and 7755?
Answer: LCM of 7751 and 7755 is 60109005.
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 7755?
Answer: Factors of 7755 are 1, 3, 5, 11, 15, 33, 47, 55, 141, 165, 235, 517, 705, 1551, 2585, 7755. There are 16 integers that are factors of 7755. The greatest factor of 7755 is 7755.
4. How to Find the LCM of 7751 and 7755?
Answer:
Least Common Multiple of 7751 and 7755 = 60109005
Step 1: Find the prime factorization of 7751
7751 = 23 x 337
Step 2: Find the prime factorization of 7755
7755 = 3 x 5 x 11 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60109005 = 3 x 5 x 11 x 23 x 47 x 337
Step 4: Therefore, the least common multiple of 7751 and 7755 is 60109005.