Least Common Multiple of 718 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 718 and 723 the smallest integer that is 519114 that is divisible by both numbers.
Least Common Multiple (LCM) of 718 and 723 is 519114.
LCM(718,723) = 519114
LCM of 718 and 723
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 718 and 723 by Prime method
- Least Common Multiple of 718 and 723 with GCF Formula
LCM of 718 and 723 is 519114
Least common multiple can be found by multiplying the highest exponent prime factors of 718 and 723. First we will calculate the prime factors of 718 and 723.
Prime Factorization of 718
| 2 | 718 |
| 359 | 359 |
| 1 |
Prime factors of 718 are 2,359. Prime factorization of 718 in exponential form is:
718 = 21×3591
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 718 and 723.
LCM(718,723) = 21×31×2411×3591
LCM(718,723) = 519114
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Least Common Multiple of 718 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 718 and 723, than apply into the LCM equation.
GCF(718,723) = 1
LCM(718,723) = ( 718 × 723) / 1
LCM(718,723) = 519114 / 1
LCM(718,723) = 519114
Properties of LCM 718 and 723
(i) The LCM of 723 and 718 is associative
LCM of 718 and 723 = LCM of 723 and 718
Related Least Common Multiples of 718
Related Least Common Multiples of 723
Frequently Asked Questions on LCM of 718 and 723
1. What is the LCM of 718 and 723?
Answer: LCM of 718 and 723 is 519114.
2. What are the Factors of 718?
Answer: Factors of 718 are 1, 2, 359, 718. There are 4 integers that are factors of 718. The greatest factor of 718 is 718.
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 718 and 723?
Answer:
Least Common Multiple of 718 and 723 = 519114
Step 1: Find the prime factorization of 718
718 = 2 x 359
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 = 519114 = 2 x 3 x 241 x 359
Step 4: Therefore, the least common multiple of 718 and 723 is 519114.
