Least Common Multiple of 757 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 757 and 761 the smallest integer that is 576077 that is divisible by both numbers.
Least Common Multiple (LCM) of 757 and 761 is 576077.
LCM(757,761) = 576077
LCM of 757 and 761
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 757 and 761 by Prime method
- Least Common Multiple of 757 and 761 with GCF Formula
LCM of 757 and 761 is 576077
Least common multiple can be found by multiplying the highest exponent prime factors of 757 and 761. First we will calculate the prime factors of 757 and 761.
Prime Factorization of 757
| 757 | 757 |
| 1 |
Prime factors of 757 are 757. Prime factorization of 757 in exponential form is:
757 = 7571
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 757 and 761.
LCM(757,761) = 7571×7611
LCM(757,761) = 576077
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1, 757
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1, 761
Least Common Multiple of 757 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 757 and 761, than apply into the LCM equation.
GCF(757,761) = 1
LCM(757,761) = ( 757 × 761) / 1
LCM(757,761) = 576077 / 1
LCM(757,761) = 576077
Properties of LCM 757 and 761
(i) The LCM of 761 and 757 is associative
LCM of 757 and 761 = LCM of 761 and 757
Related Least Common Multiples of 757
Related Least Common Multiples of 761
Frequently Asked Questions on LCM of 757 and 761
1. What is the LCM of 757 and 761?
Answer: LCM of 757 and 761 is 576077.
2. What are the Factors of 757?
Answer: Factors of 757 are 1, 757. There are 2 integers that are factors of 757. The greatest factor of 757 is 757.
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 757 and 761?
Answer:
Least Common Multiple of 757 and 761 = 576077
Step 1: Find the prime factorization of 757
757 = 757
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 = 576077 = 757 x 761
Step 4: Therefore, the least common multiple of 757 and 761 is 576077.
