Least Common Multiple of 756 and 763
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 763 the smallest integer that is 82404 that is divisible by both numbers.
Least Common Multiple (LCM) of 756 and 763 is 82404.
LCM(756,763) = 82404
LCM of 756 and 763
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 756 and 763 by Prime method
- Least Common Multiple of 756 and 763 with GCF Formula
LCM of 756 and 763 is 82404
Least common multiple can be found by multiplying the highest exponent prime factors of 756 and 763. First we will calculate the prime factors of 756 and 763.
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 763
| 7 | 763 |
| 109 | 109 |
| 1 |
Prime factors of 763 are 7,109. Prime factorization of 763 in exponential form is:
763 = 71×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 756 and 763.
LCM(756,763) = 22×33×71×1091
LCM(756,763) = 82404
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 763
List of positive integer factors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Least Common Multiple of 756 and 763 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 763, than apply into the LCM equation.
GCF(756,763) = 7
LCM(756,763) = ( 756 × 763) / 7
LCM(756,763) = 576828 / 7
LCM(756,763) = 82404
Properties of LCM 756 and 763
(i) The LCM of 763 and 756 is associative
LCM of 756 and 763 = LCM of 763 and 756
Related Least Common Multiples of 756
Related Least Common Multiples of 763
Frequently Asked Questions on LCM of 756 and 763
1. What is the LCM of 756 and 763?
Answer: LCM of 756 and 763 is 82404.
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 763?
Answer: Factors of 763 are 1, 7, 109, 763. There are 4 integers that are factors of 763. The greatest factor of 763 is 763.
4. How to Find the LCM of 756 and 763?
Answer:
Least Common Multiple of 756 and 763 = 82404
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 763
763 = 7 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 82404 = 2 x 2 x 3 x 3 x 3 x 7 x 109
Step 4: Therefore, the least common multiple of 756 and 763 is 82404.
