Least Common Multiple of 767 and 774
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 767 and 774 the smallest integer that is 593658 that is divisible by both numbers.
Least Common Multiple (LCM) of 767 and 774 is 593658.
LCM(767,774) = 593658
LCM of 767 and 774
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 767 and 774 by Prime method
- Least Common Multiple of 767 and 774 with GCF Formula
LCM of 767 and 774 is 593658
Least common multiple can be found by multiplying the highest exponent prime factors of 767 and 774. First we will calculate the prime factors of 767 and 774.
Prime Factorization of 767
| 13 | 767 |
| 59 | 59 |
| 1 |
Prime factors of 767 are 13,59. Prime factorization of 767 in exponential form is:
767 = 131×591
Prime Factorization of 774
| 2 | 774 |
| 3 | 387 |
| 3 | 129 |
| 43 | 43 |
| 1 |
Prime factors of 774 are 2, 3,43. Prime factorization of 774 in exponential form is:
774 = 21×32×431
Now multiplying the highest exponent prime factors to calculate the LCM of 767 and 774.
LCM(767,774) = 21×32×131×431×591
LCM(767,774) = 593658
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Least Common Multiple of 767 and 774 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 767 and 774, than apply into the LCM equation.
GCF(767,774) = 1
LCM(767,774) = ( 767 × 774) / 1
LCM(767,774) = 593658 / 1
LCM(767,774) = 593658
Properties of LCM 767 and 774
(i) The LCM of 774 and 767 is associative
LCM of 767 and 774 = LCM of 774 and 767
Related Least Common Multiples of 767
Related Least Common Multiples of 774
Frequently Asked Questions on LCM of 767 and 774
1. What is the LCM of 767 and 774?
Answer: LCM of 767 and 774 is 593658.
2. What are the Factors of 767?
Answer: Factors of 767 are 1, 13, 59, 767. There are 4 integers that are factors of 767. The greatest factor of 767 is 767.
3. What are the Factors of 774?
Answer: Factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774. There are 12 integers that are factors of 774. The greatest factor of 774 is 774.
4. How to Find the LCM of 767 and 774?
Answer:
Least Common Multiple of 767 and 774 = 593658
Step 1: Find the prime factorization of 767
767 = 13 x 59
Step 2: Find the prime factorization of 774
774 = 2 x 3 x 3 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 593658 = 2 x 3 x 3 x 13 x 43 x 59
Step 4: Therefore, the least common multiple of 767 and 774 is 593658.