Least Common Multiple of 718 and 725
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 725 the smallest integer that is 520550 that is divisible by both numbers.
Least Common Multiple (LCM) of 718 and 725 is 520550.
LCM(718,725) = 520550
LCM of 718 and 725
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 718 and 725 by Prime method
- Least Common Multiple of 718 and 725 with GCF Formula
LCM of 718 and 725 is 520550
Least common multiple can be found by multiplying the highest exponent prime factors of 718 and 725. First we will calculate the prime factors of 718 and 725.
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 725
| 5 | 725 |
| 5 | 145 |
| 29 | 29 |
| 1 |
Prime factors of 725 are 5,29. Prime factorization of 725 in exponential form is:
725 = 52×291
Now multiplying the highest exponent prime factors to calculate the LCM of 718 and 725.
LCM(718,725) = 21×52×291×3591
LCM(718,725) = 520550
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Least Common Multiple of 718 and 725 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 725, than apply into the LCM equation.
GCF(718,725) = 1
LCM(718,725) = ( 718 × 725) / 1
LCM(718,725) = 520550 / 1
LCM(718,725) = 520550
Properties of LCM 718 and 725
(i) The LCM of 725 and 718 is associative
LCM of 718 and 725 = LCM of 725 and 718
Related Least Common Multiples of 718
Related Least Common Multiples of 725
Frequently Asked Questions on LCM of 718 and 725
1. What is the LCM of 718 and 725?
Answer: LCM of 718 and 725 is 520550.
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 725?
Answer: Factors of 725 are 1, 5, 25, 29, 145, 725. There are 6 integers that are factors of 725. The greatest factor of 725 is 725.
4. How to Find the LCM of 718 and 725?
Answer:
Least Common Multiple of 718 and 725 = 520550
Step 1: Find the prime factorization of 718
718 = 2 x 359
Step 2: Find the prime factorization of 725
725 = 5 x 5 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 520550 = 2 x 5 x 5 x 29 x 359
Step 4: Therefore, the least common multiple of 718 and 725 is 520550.
