Least Common Multiple of 707 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 707 and 715 the smallest integer that is 505505 that is divisible by both numbers.
Least Common Multiple (LCM) of 707 and 715 is 505505.
LCM(707,715) = 505505
LCM of 707 and 715
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 707 and 715 by Prime method
- Least Common Multiple of 707 and 715 with GCF Formula
LCM of 707 and 715 is 505505
Least common multiple can be found by multiplying the highest exponent prime factors of 707 and 715. First we will calculate the prime factors of 707 and 715.
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 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 707 and 715.
LCM(707,715) = 51×71×111×131×1011
LCM(707,715) = 505505
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1, 7, 101, 707
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 707 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 707 and 715, than apply into the LCM equation.
GCF(707,715) = 1
LCM(707,715) = ( 707 × 715) / 1
LCM(707,715) = 505505 / 1
LCM(707,715) = 505505
Properties of LCM 707 and 715
(i) The LCM of 715 and 707 is associative
LCM of 707 and 715 = LCM of 715 and 707
Related Least Common Multiples of 707
Related Least Common Multiples of 715
Frequently Asked Questions on LCM of 707 and 715
1. What is the LCM of 707 and 715?
Answer: LCM of 707 and 715 is 505505.
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 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 707 and 715?
Answer:
Least Common Multiple of 707 and 715 = 505505
Step 1: Find the prime factorization of 707
707 = 7 x 101
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 = 505505 = 5 x 7 x 11 x 13 x 101
Step 4: Therefore, the least common multiple of 707 and 715 is 505505.