Least Common Multiple of 7777 and 7781
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7777 and 7781 the smallest integer that is 60512837 that is divisible by both numbers.
Least Common Multiple (LCM) of 7777 and 7781 is 60512837.
LCM(7777,7781) = 60512837
LCM of 7777 and 7781
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7777 and 7781 by Prime method
- Least Common Multiple of 7777 and 7781 with GCF Formula
LCM of 7777 and 7781 is 60512837
Least common multiple can be found by multiplying the highest exponent prime factors of 7777 and 7781. First we will calculate the prime factors of 7777 and 7781.
Prime Factorization of 7777
| 7 | 7777 |
| 11 | 1111 |
| 101 | 101 |
| 1 |
Prime factors of 7777 are 7, 11,101. Prime factorization of 7777 in exponential form is:
7777 = 71×111×1011
Prime Factorization of 7781
| 31 | 7781 |
| 251 | 251 |
| 1 |
Prime factors of 7781 are 31,251. Prime factorization of 7781 in exponential form is:
7781 = 311×2511
Now multiplying the highest exponent prime factors to calculate the LCM of 7777 and 7781.
LCM(7777,7781) = 71×111×311×1011×2511
LCM(7777,7781) = 60512837
Factors of 7777
List of positive integer factors of 7777 that divides 7777 without a remainder.
1, 7, 11, 77, 101, 707, 1111, 7777
Factors of 7781
List of positive integer factors of 7781 that divides 7781 without a remainder.
1, 31, 251, 7781
Least Common Multiple of 7777 and 7781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7777 and 7781, than apply into the LCM equation.
GCF(7777,7781) = 1
LCM(7777,7781) = ( 7777 × 7781) / 1
LCM(7777,7781) = 60512837 / 1
LCM(7777,7781) = 60512837
Properties of LCM 7777 and 7781
(i) The LCM of 7781 and 7777 is associative
LCM of 7777 and 7781 = LCM of 7781 and 7777
Related Least Common Multiples of 7777
Related Least Common Multiples of 7781
Frequently Asked Questions on LCM of 7777 and 7781
1. What is the LCM of 7777 and 7781?
Answer: LCM of 7777 and 7781 is 60512837.
2. What are the Factors of 7777?
Answer: Factors of 7777 are 1, 7, 11, 77, 101, 707, 1111, 7777. There are 8 integers that are factors of 7777. The greatest factor of 7777 is 7777.
3. What are the Factors of 7781?
Answer: Factors of 7781 are 1, 31, 251, 7781. There are 4 integers that are factors of 7781. The greatest factor of 7781 is 7781.
4. How to Find the LCM of 7777 and 7781?
Answer:
Least Common Multiple of 7777 and 7781 = 60512837
Step 1: Find the prime factorization of 7777
7777 = 7 x 11 x 101
Step 2: Find the prime factorization of 7781
7781 = 31 x 251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60512837 = 7 x 11 x 31 x 101 x 251
Step 4: Therefore, the least common multiple of 7777 and 7781 is 60512837.