Least Common Multiple of 707 and 713
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 707 and 713 the smallest integer that is 504091 that is divisible by both numbers.
Least Common Multiple (LCM) of 707 and 713 is 504091.
LCM(707,713) = 504091
LCM of 707 and 713
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 707 and 713 by Prime method
- Least Common Multiple of 707 and 713 with GCF Formula
LCM of 707 and 713 is 504091
Least common multiple can be found by multiplying the highest exponent prime factors of 707 and 713. First we will calculate the prime factors of 707 and 713.
Prime Factorization of 707
| 7 | 707 |
| 101 | 101 |
| 1 |
Prime factors of 707 are 7,101. Prime factorization of 707 in exponential form is:
707 = 71×1011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 707 and 713.
LCM(707,713) = 71×231×311×1011
LCM(707,713) = 504091
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Least Common Multiple of 707 and 713 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 707 and 713, than apply into the LCM equation.
GCF(707,713) = 1
LCM(707,713) = ( 707 × 713) / 1
LCM(707,713) = 504091 / 1
LCM(707,713) = 504091
Properties of LCM 707 and 713
(i) The LCM of 713 and 707 is associative
LCM of 707 and 713 = LCM of 713 and 707
Related Least Common Multiples of 707
Related Least Common Multiples of 713
Frequently Asked Questions on LCM of 707 and 713
1. What is the LCM of 707 and 713?
Answer: LCM of 707 and 713 is 504091.
2. What are the Factors of 707?
Answer: Factors of 707 are 1, 7, 101, 707. There are 4 integers that are factors of 707. The greatest factor of 707 is 707.
3. 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.
4. How to Find the LCM of 707 and 713?
Answer:
Least Common Multiple of 707 and 713 = 504091
Step 1: Find the prime factorization of 707
707 = 7 x 101
Step 2: Find the prime factorization of 713
713 = 23 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 504091 = 7 x 23 x 31 x 101
Step 4: Therefore, the least common multiple of 707 and 713 is 504091.