Least Common Multiple of 754 and 761
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 754 and 761 the smallest integer that is 573794 that is divisible by both numbers.
Least Common Multiple (LCM) of 754 and 761 is 573794.
LCM(754,761) = 573794
LCM of 754 and 761
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 754 and 761 by Prime method
- Least Common Multiple of 754 and 761 with GCF Formula
LCM of 754 and 761 is 573794
Least common multiple can be found by multiplying the highest exponent prime factors of 754 and 761. First we will calculate the prime factors of 754 and 761.
Prime Factorization of 754
| 2 | 754 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 754 are 2, 13,29. Prime factorization of 754 in exponential form is:
754 = 21×131×291
Prime Factorization of 761
| 761 | 761 |
| 1 |
Prime factors of 761 are 761. Prime factorization of 761 in exponential form is:
761 = 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 754 and 761.
LCM(754,761) = 21×131×291×7611
LCM(754,761) = 573794
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1, 761
Least Common Multiple of 754 and 761 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 754 and 761, than apply into the LCM equation.
GCF(754,761) = 1
LCM(754,761) = ( 754 × 761) / 1
LCM(754,761) = 573794 / 1
LCM(754,761) = 573794
Properties of LCM 754 and 761
(i) The LCM of 761 and 754 is associative
LCM of 754 and 761 = LCM of 761 and 754
Related Least Common Multiples of 754
Related Least Common Multiples of 761
Frequently Asked Questions on LCM of 754 and 761
1. What is the LCM of 754 and 761?
Answer: LCM of 754 and 761 is 573794.
2. What are the Factors of 754?
Answer: Factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754. There are 8 integers that are factors of 754. The greatest factor of 754 is 754.
3. 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.
4. How to Find the LCM of 754 and 761?
Answer:
Least Common Multiple of 754 and 761 = 573794
Step 1: Find the prime factorization of 754
754 = 2 x 13 x 29
Step 2: Find the prime factorization of 761
761 = 761
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 573794 = 2 x 13 x 29 x 761
Step 4: Therefore, the least common multiple of 754 and 761 is 573794.
