Least Common Multiple of 761 and 767
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 761 and 767 the smallest integer that is 583687 that is divisible by both numbers.
Least Common Multiple (LCM) of 761 and 767 is 583687.
LCM(761,767) = 583687
LCM of 761 and 767
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 761 and 767 by Prime method
- Least Common Multiple of 761 and 767 with GCF Formula
LCM of 761 and 767 is 583687
Least common multiple can be found by multiplying the highest exponent prime factors of 761 and 767. First we will calculate the prime factors of 761 and 767.
Prime Factorization of 761
| 761 | 761 |
| 1 |
Prime factors of 761 are 761. Prime factorization of 761 in exponential form is:
761 = 7611
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
Now multiplying the highest exponent prime factors to calculate the LCM of 761 and 767.
LCM(761,767) = 131×591×7611
LCM(761,767) = 583687
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1, 761
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Least Common Multiple of 761 and 767 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 761 and 767, than apply into the LCM equation.
GCF(761,767) = 1
LCM(761,767) = ( 761 × 767) / 1
LCM(761,767) = 583687 / 1
LCM(761,767) = 583687
Properties of LCM 761 and 767
(i) The LCM of 767 and 761 is associative
LCM of 761 and 767 = LCM of 767 and 761
Related Least Common Multiples of 761
Related Least Common Multiples of 767
Frequently Asked Questions on LCM of 761 and 767
1. What is the LCM of 761 and 767?
Answer: LCM of 761 and 767 is 583687.
2. What are the Factors of 761?
Answer: Factors of 761 are 1, 761. There are 2 integers that are factors of 761. The greatest factor of 761 is 761.
3. 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.
4. How to Find the LCM of 761 and 767?
Answer:
Least Common Multiple of 761 and 767 = 583687
Step 1: Find the prime factorization of 761
761 = 761
Step 2: Find the prime factorization of 767
767 = 13 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 583687 = 13 x 59 x 761
Step 4: Therefore, the least common multiple of 761 and 767 is 583687.