Least Common Multiple of 767 and 773
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 773 the smallest integer that is 592891 that is divisible by both numbers.
Least Common Multiple (LCM) of 767 and 773 is 592891.
LCM(767,773) = 592891
LCM of 767 and 773
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 767 and 773 by Prime method
- Least Common Multiple of 767 and 773 with GCF Formula
LCM of 767 and 773 is 592891
Least common multiple can be found by multiplying the highest exponent prime factors of 767 and 773. First we will calculate the prime factors of 767 and 773.
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 773
| 773 | 773 |
| 1 |
Prime factors of 773 are 773. Prime factorization of 773 in exponential form is:
773 = 7731
Now multiplying the highest exponent prime factors to calculate the LCM of 767 and 773.
LCM(767,773) = 131×591×7731
LCM(767,773) = 592891
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1, 773
Least Common Multiple of 767 and 773 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 773, than apply into the LCM equation.
GCF(767,773) = 1
LCM(767,773) = ( 767 × 773) / 1
LCM(767,773) = 592891 / 1
LCM(767,773) = 592891
Properties of LCM 767 and 773
(i) The LCM of 773 and 767 is associative
LCM of 767 and 773 = LCM of 773 and 767
Related Least Common Multiples of 767
Related Least Common Multiples of 773
Frequently Asked Questions on LCM of 767 and 773
1. What is the LCM of 767 and 773?
Answer: LCM of 767 and 773 is 592891.
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 773?
Answer: Factors of 773 are 1, 773. There are 2 integers that are factors of 773. The greatest factor of 773 is 773.
4. How to Find the LCM of 767 and 773?
Answer:
Least Common Multiple of 767 and 773 = 592891
Step 1: Find the prime factorization of 767
767 = 13 x 59
Step 2: Find the prime factorization of 773
773 = 773
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 592891 = 13 x 59 x 773
Step 4: Therefore, the least common multiple of 767 and 773 is 592891.