Least Common Multiple of 715 and 718
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 718 the smallest integer that is 513370 that is divisible by both numbers.
Least Common Multiple (LCM) of 715 and 718 is 513370.
LCM(715,718) = 513370
LCM of 715 and 718
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 715 and 718 by Prime method
- Least Common Multiple of 715 and 718 with GCF Formula
LCM of 715 and 718 is 513370
Least common multiple can be found by multiplying the highest exponent prime factors of 715 and 718. First we will calculate the prime factors of 715 and 718.
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 718
| 2 | 718 |
| 359 | 359 |
| 1 |
Prime factors of 718 are 2,359. Prime factorization of 718 in exponential form is:
718 = 21×3591
Now multiplying the highest exponent prime factors to calculate the LCM of 715 and 718.
LCM(715,718) = 21×51×111×131×3591
LCM(715,718) = 513370
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 718
List of positive integer factors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Least Common Multiple of 715 and 718 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 718, than apply into the LCM equation.
GCF(715,718) = 1
LCM(715,718) = ( 715 × 718) / 1
LCM(715,718) = 513370 / 1
LCM(715,718) = 513370
Properties of LCM 715 and 718
(i) The LCM of 718 and 715 is associative
LCM of 715 and 718 = LCM of 718 and 715
Related Least Common Multiples of 715
Related Least Common Multiples of 718
Frequently Asked Questions on LCM of 715 and 718
1. What is the LCM of 715 and 718?
Answer: LCM of 715 and 718 is 513370.
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 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.
4. How to Find the LCM of 715 and 718?
Answer:
Least Common Multiple of 715 and 718 = 513370
Step 1: Find the prime factorization of 715
715 = 5 x 11 x 13
Step 2: Find the prime factorization of 718
718 = 2 x 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 513370 = 2 x 5 x 11 x 13 x 359
Step 4: Therefore, the least common multiple of 715 and 718 is 513370.
