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 709 the smallest integer that is 501263 that is divisible by both numbers.
Least Common Multiple (LCM) of 707 and 709 is 501263.
LCM(707,709) = 501263
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 707 and 709. First we will calculate the prime factors of 707 and 709.
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 709
709 | 709 |
1 |
Prime factors of 709 are 709. Prime factorization of 709 in exponential form is:
709 = 7091
Now multiplying the highest exponent prime factors to calculate the LCM of 707 and 709.
LCM(707,709) = 71×1011×7091
LCM(707,709) = 501263
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1, 709
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 707 and 709, than apply into the LCM equation.
GCF(707,709) = 1
LCM(707,709) = ( 707 × 709) / 1
LCM(707,709) = 501263 / 1
LCM(707,709) = 501263
(i) The LCM of 709 and 707 is associative
LCM of 707 and 709 = LCM of 709 and 707
1. What is the LCM of 707 and 709?
Answer: LCM of 707 and 709 is 501263.
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 709?
Answer: Factors of 709 are 1, 709. There are 2 integers that are factors of 709. The greatest factor of 709 is 709.
4. How to Find the LCM of 707 and 709?
Answer:
Least Common Multiple of 707 and 709 = 501263
Step 1: Find the prime factorization of 707
707 = 7 x 101
Step 2: Find the prime factorization of 709
709 = 709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 501263 = 7 x 101 x 709
Step 4: Therefore, the least common multiple of 707 and 709 is 501263.