Least Common Multiple of 777 and 781
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 777 and 781 the smallest integer that is 606837 that is divisible by both numbers.
Least Common Multiple (LCM) of 777 and 781 is 606837.
LCM(777,781) = 606837
LCM of 777 and 781
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 777 and 781 by Prime method
- Least Common Multiple of 777 and 781 with GCF Formula
LCM of 777 and 781 is 606837
Least common multiple can be found by multiplying the highest exponent prime factors of 777 and 781. First we will calculate the prime factors of 777 and 781.
Prime Factorization of 777
| 3 | 777 |
| 7 | 259 |
| 37 | 37 |
| 1 |
Prime factors of 777 are 3, 7,37. Prime factorization of 777 in exponential form is:
777 = 31×71×371
Prime Factorization of 781
| 11 | 781 |
| 71 | 71 |
| 1 |
Prime factors of 781 are 11,71. Prime factorization of 781 in exponential form is:
781 = 111×711
Now multiplying the highest exponent prime factors to calculate the LCM of 777 and 781.
LCM(777,781) = 31×71×111×371×711
LCM(777,781) = 606837
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Least Common Multiple of 777 and 781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 777 and 781, than apply into the LCM equation.
GCF(777,781) = 1
LCM(777,781) = ( 777 × 781) / 1
LCM(777,781) = 606837 / 1
LCM(777,781) = 606837
Properties of LCM 777 and 781
(i) The LCM of 781 and 777 is associative
LCM of 777 and 781 = LCM of 781 and 777
Related Least Common Multiples of 777
Related Least Common Multiples of 781
Frequently Asked Questions on LCM of 777 and 781
1. What is the LCM of 777 and 781?
Answer: LCM of 777 and 781 is 606837.
2. What are the Factors of 777?
Answer: Factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777. There are 8 integers that are factors of 777. The greatest factor of 777 is 777.
3. What are the Factors of 781?
Answer: Factors of 781 are 1, 11, 71, 781. There are 4 integers that are factors of 781. The greatest factor of 781 is 781.
4. How to Find the LCM of 777 and 781?
Answer:
Least Common Multiple of 777 and 781 = 606837
Step 1: Find the prime factorization of 777
777 = 3 x 7 x 37
Step 2: Find the prime factorization of 781
781 = 11 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 606837 = 3 x 7 x 11 x 37 x 71
Step 4: Therefore, the least common multiple of 777 and 781 is 606837.
