Least Common Multiple of 709 and 715
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 709 and 715 the smallest integer that is 506935 that is divisible by both numbers.
Least Common Multiple (LCM) of 709 and 715 is 506935.
LCM(709,715) = 506935
LCM of 709 and 715
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 709 and 715 by Prime method
- Least Common Multiple of 709 and 715 with GCF Formula
LCM of 709 and 715 is 506935
Least common multiple can be found by multiplying the highest exponent prime factors of 709 and 715. First we will calculate the prime factors of 709 and 715.
Prime Factorization of 709
| 709 | 709 |
| 1 |
Prime factors of 709 are 709. Prime factorization of 709 in exponential form is:
709 = 7091
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
Now multiplying the highest exponent prime factors to calculate the LCM of 709 and 715.
LCM(709,715) = 51×111×131×7091
LCM(709,715) = 506935
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1, 709
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Least Common Multiple of 709 and 715 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 709 and 715, than apply into the LCM equation.
GCF(709,715) = 1
LCM(709,715) = ( 709 × 715) / 1
LCM(709,715) = 506935 / 1
LCM(709,715) = 506935
Properties of LCM 709 and 715
(i) The LCM of 715 and 709 is associative
LCM of 709 and 715 = LCM of 715 and 709
Related Least Common Multiples of 709
Related Least Common Multiples of 715
Frequently Asked Questions on LCM of 709 and 715
1. What is the LCM of 709 and 715?
Answer: LCM of 709 and 715 is 506935.
2. What are the Factors of 709?
Answer: Factors of 709 are 1, 709. There are 2 integers that are factors of 709. The greatest factor of 709 is 709.
3. 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.
4. How to Find the LCM of 709 and 715?
Answer:
Least Common Multiple of 709 and 715 = 506935
Step 1: Find the prime factorization of 709
709 = 709
Step 2: Find the prime factorization of 715
715 = 5 x 11 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 506935 = 5 x 11 x 13 x 709
Step 4: Therefore, the least common multiple of 709 and 715 is 506935.
