Least Common Multiple of 7775 and 7783
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7775 and 7783 the smallest integer that is 60512825 that is divisible by both numbers.
Least Common Multiple (LCM) of 7775 and 7783 is 60512825.
LCM(7775,7783) = 60512825
LCM of 7775 and 7783
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7775 and 7783 by Prime method
- Least Common Multiple of 7775 and 7783 with GCF Formula
LCM of 7775 and 7783 is 60512825
Least common multiple can be found by multiplying the highest exponent prime factors of 7775 and 7783. First we will calculate the prime factors of 7775 and 7783.
Prime Factorization of 7775
| 5 | 7775 |
| 5 | 1555 |
| 311 | 311 |
| 1 |
Prime factors of 7775 are 5,311. Prime factorization of 7775 in exponential form is:
7775 = 52×3111
Prime Factorization of 7783
| 43 | 7783 |
| 181 | 181 |
| 1 |
Prime factors of 7783 are 43,181. Prime factorization of 7783 in exponential form is:
7783 = 431×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 7775 and 7783.
LCM(7775,7783) = 52×431×1811×3111
LCM(7775,7783) = 60512825
Factors of 7775
List of positive integer factors of 7775 that divides 7775 without a remainder.
1, 5, 25, 311, 1555, 7775
Factors of 7783
List of positive integer factors of 7783 that divides 7783 without a remainder.
1, 43, 181, 7783
Least Common Multiple of 7775 and 7783 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7775 and 7783, than apply into the LCM equation.
GCF(7775,7783) = 1
LCM(7775,7783) = ( 7775 × 7783) / 1
LCM(7775,7783) = 60512825 / 1
LCM(7775,7783) = 60512825
Properties of LCM 7775 and 7783
(i) The LCM of 7783 and 7775 is associative
LCM of 7775 and 7783 = LCM of 7783 and 7775
Related Least Common Multiples of 7775
Related Least Common Multiples of 7783
Frequently Asked Questions on LCM of 7775 and 7783
1. What is the LCM of 7775 and 7783?
Answer: LCM of 7775 and 7783 is 60512825.
2. What are the Factors of 7775?
Answer: Factors of 7775 are 1, 5, 25, 311, 1555, 7775. There are 6 integers that are factors of 7775. The greatest factor of 7775 is 7775.
3. What are the Factors of 7783?
Answer: Factors of 7783 are 1, 43, 181, 7783. There are 4 integers that are factors of 7783. The greatest factor of 7783 is 7783.
4. How to Find the LCM of 7775 and 7783?
Answer:
Least Common Multiple of 7775 and 7783 = 60512825
Step 1: Find the prime factorization of 7775
7775 = 5 x 5 x 311
Step 2: Find the prime factorization of 7783
7783 = 43 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60512825 = 5 x 5 x 43 x 181 x 311
Step 4: Therefore, the least common multiple of 7775 and 7783 is 60512825.