Least Common Multiple of 715 and 723
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 715 and 723 the smallest integer that is 516945 that is divisible by both numbers.
Least Common Multiple (LCM) of 715 and 723 is 516945.
LCM(715,723) = 516945
LCM of 715 and 723
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 715 and 723 by Prime method
- Least Common Multiple of 715 and 723 with GCF Formula
LCM of 715 and 723 is 516945
Least common multiple can be found by multiplying the highest exponent prime factors of 715 and 723. First we will calculate the prime factors of 715 and 723.
Prime Factorization of 715
| 5 | 715 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 715 are 5, 11,13. Prime factorization of 715 in exponential form is:
715 = 51×111×131
Prime Factorization of 723
| 3 | 723 |
| 241 | 241 |
| 1 |
Prime factors of 723 are 3,241. Prime factorization of 723 in exponential form is:
723 = 31×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 715 and 723.
LCM(715,723) = 31×51×111×131×2411
LCM(715,723) = 516945
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Least Common Multiple of 715 and 723 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 715 and 723, than apply into the LCM equation.
GCF(715,723) = 1
LCM(715,723) = ( 715 × 723) / 1
LCM(715,723) = 516945 / 1
LCM(715,723) = 516945
Properties of LCM 715 and 723
(i) The LCM of 723 and 715 is associative
LCM of 715 and 723 = LCM of 723 and 715
Related Least Common Multiples of 715
Related Least Common Multiples of 723
Frequently Asked Questions on LCM of 715 and 723
1. What is the LCM of 715 and 723?
Answer: LCM of 715 and 723 is 516945.
2. What are the Factors of 715?
Answer: Factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715. There are 8 integers that are factors of 715. The greatest factor of 715 is 715.
3. What are the Factors of 723?
Answer: Factors of 723 are 1, 3, 241, 723. There are 4 integers that are factors of 723. The greatest factor of 723 is 723.
4. How to Find the LCM of 715 and 723?
Answer:
Least Common Multiple of 715 and 723 = 516945
Step 1: Find the prime factorization of 715
715 = 5 x 11 x 13
Step 2: Find the prime factorization of 723
723 = 3 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 516945 = 3 x 5 x 11 x 13 x 241
Step 4: Therefore, the least common multiple of 715 and 723 is 516945.