Least Common Multiple of 713 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 713 and 715 the smallest integer that is 509795 that is divisible by both numbers.
Least Common Multiple (LCM) of 713 and 715 is 509795.
LCM(713,715) = 509795
LCM of 713 and 715
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 713 and 715 by Prime method
- Least Common Multiple of 713 and 715 with GCF Formula
LCM of 713 and 715 is 509795
Least common multiple can be found by multiplying the highest exponent prime factors of 713 and 715. First we will calculate the prime factors of 713 and 715.
Prime Factorization of 713
| 23 | 713 |
| 31 | 31 |
| 1 |
Prime factors of 713 are 23,31. Prime factorization of 713 in exponential form is:
713 = 231×311
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 713 and 715.
LCM(713,715) = 51×111×131×231×311
LCM(713,715) = 509795
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1, 23, 31, 713
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 713 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 713 and 715, than apply into the LCM equation.
GCF(713,715) = 1
LCM(713,715) = ( 713 × 715) / 1
LCM(713,715) = 509795 / 1
LCM(713,715) = 509795
Properties of LCM 713 and 715
(i) The LCM of 715 and 713 is associative
LCM of 713 and 715 = LCM of 715 and 713
Related Least Common Multiples of 713
Related Least Common Multiples of 715
Frequently Asked Questions on LCM of 713 and 715
1. What is the LCM of 713 and 715?
Answer: LCM of 713 and 715 is 509795.
2. What are the Factors of 713?
Answer: Factors of 713 are 1, 23, 31, 713. There are 4 integers that are factors of 713. The greatest factor of 713 is 713.
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 713 and 715?
Answer:
Least Common Multiple of 713 and 715 = 509795
Step 1: Find the prime factorization of 713
713 = 23 x 31
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 = 509795 = 5 x 11 x 13 x 23 x 31
Step 4: Therefore, the least common multiple of 713 and 715 is 509795.