Least Common Multiple of 756 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 756 and 761 the smallest integer that is 575316 that is divisible by both numbers.
Least Common Multiple (LCM) of 756 and 761 is 575316.
LCM(756,761) = 575316
LCM of 756 and 761
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 756 and 761 by Prime method
- Least Common Multiple of 756 and 761 with GCF Formula
LCM of 756 and 761 is 575316
Least common multiple can be found by multiplying the highest exponent prime factors of 756 and 761. First we will calculate the prime factors of 756 and 761.
Prime Factorization of 756
| 2 | 756 |
| 2 | 378 |
| 3 | 189 |
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 756 are 2, 3,7. Prime factorization of 756 in exponential form is:
756 = 22×33×71
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 756 and 761.
LCM(756,761) = 22×33×71×7611
LCM(756,761) = 575316
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1, 761
Least Common Multiple of 756 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 756 and 761, than apply into the LCM equation.
GCF(756,761) = 1
LCM(756,761) = ( 756 × 761) / 1
LCM(756,761) = 575316 / 1
LCM(756,761) = 575316
Properties of LCM 756 and 761
(i) The LCM of 761 and 756 is associative
LCM of 756 and 761 = LCM of 761 and 756
Related Least Common Multiples of 756
Related Least Common Multiples of 761
Frequently Asked Questions on LCM of 756 and 761
1. What is the LCM of 756 and 761?
Answer: LCM of 756 and 761 is 575316.
2. What are the Factors of 756?
Answer: Factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756. There are 24 integers that are factors of 756. The greatest factor of 756 is 756.
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 756 and 761?
Answer:
Least Common Multiple of 756 and 761 = 575316
Step 1: Find the prime factorization of 756
756 = 2 x 2 x 3 x 3 x 3 x 7
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 = 575316 = 2 x 2 x 3 x 3 x 3 x 7 x 761
Step 4: Therefore, the least common multiple of 756 and 761 is 575316.